दोस्तों स्वागत है आपका हमारी up board class 11 maths solution की एक और महत्वपूर्ण पोस्ट में ,जोकि आपके लिए वास्तव में बोहोत ही ज्यादा फायदेमंद होने वाली है क्यूंकि इस पूरी पोस्ट में जिन भी सवालो को जोड़ा गया है वे UP Board के हिसाब से सभी-के-सभी सवाल बोहोत ही ज्यादा महत्वपूर्ण है |
इस पोस्ट में UP Board की Class 11th Maths के Chapter-3 Trigonometric Functions (त्रिकोणमितीय फलन) के सभी सवालो को उनके Solution(हल) सहित इस पोस्ट में जोड़ा गया है जिसमे Exercise(अभ्यास) 3.1 से Exercise(अभ्यास) 3.6 तक कुल 6 Exercise(अभ्यास) है जोकि बोहोत ही आसान है और जिनको आप बोहोत ही आसानी से समझ जायेंगे |
इन सभी Exercise(अभ्यास) को Solve(हल) करने के बाद में आपका बोहोत ही ज्यादा फायदा होगा इसलिए बिना किसी देरी के अभी से इन सभी Exercise(अभ्यास) को Solve(हल) करना start कर दीजिये जिससे की आप अपने Maths के exams में बोहोत ही आसानी से अच्छे और ज्यादा-से-ज्यादा नंबर बोहोत ही आसानी से प्राप्त कर सके |
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UP Board class 11 maths solution
Category | Education |
Language | Hindi/English |
Subject Name | Class 11th Maths |
Chapter Name | Chapter 3 Trigonometric Functions (त्रिकोणमितीय फलन) |
Class 11 All Chapters Solution | Click Here |
Official Website | shubhampal.co.in |
Chapter 3 – Trigonometric Functions (त्रिकोणमितीय फलन)
up board 11 math solution
up board 11 maths solution
Exercise(अभ्यास) 3.1
प्रश्न 1 – up board class 11 maths solution
निम्नलिखित को रेडियन माप में बदलो ।
(ii) 225g 27’38”
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.1-ans3.2.png)
प्रश्न 2 – trigonometric functions class 11 solutions
निनलिखित को डिग्री माप में लिखिए ।
(i) 2.5 रेडियन
(ii) (4𝝅⁄5)c
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.1-ans4-466x1024.png)
प्रश्न 3 – class 11 maths trigonometric functions
The angles of a triangle are in parallel series and the ratio of the smallest angle in degrees and the largest angle in radians is 36:𝝅, then find the measure of the angles in degrees.
किसी त्रिभुज के कोण समांतर श्रेणी में है तथा डिग्री में सबसे छोटे एवं रेडियन में सबसे बड़े कोण का अनुपात 36:𝝅 है, तो डिग्री में कोणों की माप ज्ञात कीजिए।
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.1-ans7-791x1024.png)
प्रश्न 4 – up board 11 math solution
Find the angle between the hour hand and the minute hand in circular measurement at 4 o’clock.
4 बजे वृत्तीय माप में घण्टे की सुई तथा मिनट की सुई के मध्य कोण ज्ञात कीजिए ।
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.1-ans10.png)
प्रश्न 5 – up board class 11 maths solution
Find the value of the angle between the two hands of a clock at 3(1⁄2) o’clock in radians.
3(1⁄2) बजे किसी घड़ी की दोनों सुइयों के बीच के कोण का मान रेडियन में ज्ञात कीजिए ।
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.1-ans11.png)
प्रश्न 6 – trigonometric functions class 11 solutions
If arcs of equal length of two circles subtend angles of 60° and 75° at their centers respectively, then find the ratio of their radii.
यदि दो वृतों के समान लम्बाई वाले चाप अपने केंद्रों पर क्रमशः 60° तथा 75° का कोण बनाते हो, तो उनकी त्रिज्याओं का अनुपात ज्ञात कीजिए ।
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.1-ans12-743x1024.png)
प्रश्न 7 – class 11 maths trigonometric functions
A wheel makes 360 revolutions in one minute, then how many radians in one second who will make it?
एक पहिया एक मिनट में 360 परिक्रमण करता है, तो एक सेकण्ड में कितने रेडियन का कोण बनाएगा?
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.1-ans13.png)
प्रश्न 8 – trigonometry class 11 ncert
A wheel makes 30 revolutions per minute. Find the radian measure of the angle made by one spoke of the wheel in 1⁄2 second.
एक पहिया प्रति मिनट 30 परिक्रमण करता है । पहिये की एक तीली द्वारा 1⁄2 सेकण्ड में बनाये गए कोण की रेडियन माप ज्ञात कीजिए ।
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.1-ans18.png)
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up board solution class 11 maths chapter 3
Exercise(अभ्यास) 3.2
प्रश्न 1 – up board class 11 maths solution
Prove the following identities.
निम्नलिखित सर्वसमिकाओं को सिद्ध कीजिए ।
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ques1-1024x476.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans1.1.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans1.2-366x1024.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans1.3.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans1.4-437x1024.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans1.5-423x1024.png)
up board 11 maths solution
प्रश्न 2 – trigonometric functions class 11 solutions
Prove the following identities.
निम्नलिखित सर्वसमिकाओं को सिद्ध कीजिए ।
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ques2-1024x832.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans2.1-641x1024.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans2.2-469x1024.png)
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प्रश्न 3(i) – class 11 maths trigonometric functions
If tan2θ = 1-m2 ,then prove that secθ+tan3θcosecθ = (2-m2)3⁄2 .
यदि tan2θ = 1-m2 , तो सिद्ध कीजिए कि secθ+tan3θcosecθ = (2-m2)3⁄2
हल : प्रश्नानुसार ,
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans3.4-685x1024.png)
प्रश्न 3(ii) – trigonometry class 11 ncert
If m=secθ+tanθ ,then prove that tanθ = m2-1⁄2m , sinθ = m2-1⁄m2+1 .
यदि m=secθ+tanθ , तो सिद्ध कीजिए कि tanθ = m2-1⁄2m , sinθ = m2-1⁄m2+1
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans3.5-430x1024.png)
प्रश्न 3(iii) – class 11 trigonometric functions
If tanθ = m⁄n , then prove that msinθ-ncosθ⁄msinθ+ncosθ = m2-n2⁄m2+n2 .
यदि tanθ = m⁄n तो सिद्ध कीजिए कि msinθ-ncosθ⁄msinθ+ncosθ = m2-n2⁄m2+n2 .
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans3.6-602x1024.png)
up board 11 maths solution
प्रश्न 4 – trigonometry class 11 ncert
Prove the result written in front of the following relations by eliminating θ.
निम्नलिखित संबंधों से θ को विलुप्त करते हुए उनके सम्मुख लिखे परिणाम को सिद्ध कीजिए |
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ques4-1024x411.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans4.1-823x1024.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans4.2-606x1024.png)
प्रश्न 5 – up board class 11 maths solution
If cosθ = √3⁄2 ,then prove that tanθ = 1⁄√3 and cosecθ = 2 .
यदि cosθ = √3⁄2 , तो सिद्ध कीजिए कि tanθ = 1⁄√3 तथा cosecθ = 2
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans5.png)
प्रश्न 6 – trigonometric functions class 11 solutions
If secθ = √5 ,then prove that cotθ = 1⁄2 and cosecθ = √5⁄2 .
यदि secθ = √5 , तो सिद्ध कीजिए कि cotθ = 1⁄2 तथा cosecθ = √5⁄2
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans6.png)
प्रश्न 7 – class 11 maths trigonometric functions
If tanθ = 4⁄5 ,then prove that 2sinθ+3cosθ⁄4cosθ+3sinθ = 23⁄32 .
यदि tanθ = 4⁄5 , तो सिद्ध कीजिए कि 2sinθ+3cosθ⁄4cosθ+3sinθ = 23⁄32
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans7-694x1024.png)
प्रश्न 8 – trigonometry class 11 ncert
If cotθ = 5⁄12 ,then prove that 3sinθ-2cosθ⁄4cosθ+5sinθ = 13⁄40 .
यदि cotθ = 5⁄12 , तो सिद्ध कीजिए कि 3sinθ-2cosθ⁄4cosθ+5sinθ = 13⁄40
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans8-680x1024.png)
प्रश्न 9 – up board class 11 maths solution
If sinθ+cosθ = x ,then prove that sin6θ+cos6θ = 1-3⁄4(x2-1)2 , x2≤2 .
यदि sinθ+cosθ = x , तो सिद्ध कीजिए कि sin6θ+cos6θ = 1-3⁄4(x2-1)2 , x2≤2
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans9-772x1024.png)
प्रश्न 10 – trigonometric functions class 11 solutions
If tan2θ-secθ = 5 ,then prove that cosθ = 1⁄3 .
यदि tan2θ-secθ = 5 , तो सिद्ध कीजिए कि cosθ = 1⁄3
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.2-ans10.png)
up board 11 maths solution
up board 11 math solution
up board solution class 11 maths chapter 3
Exercise(अभ्यास) 3.3
प्रश्न 1 – class 11 maths trigonometric functions
Find the value of the following.
निम्नलिखित का मान ज्ञात कीजिए ।
(i) sin31𝝅⁄3
(ii) cos( – 1710°)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.3-ans7.2.png)
प्रश्न 2 – trigonometry class 11 ncert
Find the values of other trigonometric functions in the following.
निम्नलिखित में अन्य त्रिकोणमितीय फलनों के मान ज्ञात कीजिए ।
![up board solution class 11 maths chapter 3](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.3-ques2.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.3-ans7.1-584x1024.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.3-ans6-562x1024.png)
प्रश्न 3 – up board class 11 maths solution
सिद्ध कीजिए (Prove it) 2cos2𝝅⁄4+3sec2𝝅⁄6 = 5
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.3-ans5.png)
प्रश्न 4 – trigonometric functions class 11 solutions
सिद्ध कीजिए (Prove it) tan60°+sec60°-1⁄tan60°-sec60°+1 = cosec30°+2sin60°
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.3-ans2.2-742x1024.png)
प्रश्न 5 – class 11 maths trigonometric functions
सिद्ध कीजिए (Prove it) –
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.3-ques7.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.3-ans2.1-687x1024.png)
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up board 11 maths solution
up board 11 math solution
up board solution class 11 maths chapter 3
Exercise(अभ्यास) 3.4
प्रश्न 1 – trigonometry class 11 ncert
सिद्ध कीजिए (Prove it) –
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.4-ques1-1024x244.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.4-ans1.1-617x1024.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.4-ans1.2-512x1024.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.4-ans1.3-855x1024.png)
up board 11 maths solution
प्रश्न 2 – up board class 11 maths solution
If tanβ = nsinαcosα⁄1-nsin2α ,then prove that tan(α-β) = (1-n)tanα .
यदि tanβ = nsinαcosα⁄1-nsin , तो सिद्ध कीजिए कि tan(α-β) = (1-n)tanα
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.4-ans2-607x1024.png)
प्रश्न 3 – trigonometric functions class 11 solutions
If sin x = 3⁄5 , cos y = –12⁄13 where 𝝅⁄2<x and 𝝅⁄2<y<x then prove that sin(x+y) = –56⁄65 .
यदि sin x = 3⁄5 , cos y = –12⁄13 जहाँ 𝝅⁄2<x और 𝝅⁄2<y<x तो सिद्ध कीजिए कि sin(x+y) = –56⁄65
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.4-ans4-640x1024.png)
प्रश्न 4 – class 11 maths trigonometric functions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/5..png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.4-ans5.png)
प्रश्न 5 – trigonometry class 11 ncert
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/7..png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.4-ans7-861x1024.png)
प्रश्न 6 – up board class 11 maths solution
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/14..png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.4-ans8.png)
प्रश्न 7 – trigonometric functions class 11 solutions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/9..png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.4-ans9.png)
प्रश्न 8 – class 11 maths trigonometric functions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/10..png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.4-ans10-604x1024.png)
प्रश्न 9 – class 11 trigonometric functions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/11..png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.4-ans11.png)
प्रश्न 10 – up board class 11 maths solution
सिद्ध कीजिए (Prove it) tan(α+β)tan(α-β) = sin2α-sin2β⁄cos2α-sin2β
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.4-ans12-800x1024.png)
up board 11 maths solution
up board 11 math solution
Exercise(अभ्यास) 3.5
up board solution class 11 maths chapter 3
प्रश्न 1 – trigonometric functions class 11 solutions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/1-3.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans1-709x1024.png)
प्रश्न 2 – class 11 trigonometric functions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/2-3.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans2.png)
प्रश्न 3 – trigonometry class 11 ncert
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/3-2.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans3.png)
up board 11 maths solution
प्रश्न 4 – up board class 11 maths solution
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/4.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans4.png)
प्रश्न 5 – trigonometric functions class 11 solutions
सिद्ध कीजिए cos20°cos40°cos80° = 1⁄8
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans5-959x1024.png)
प्रश्न 6 – class 11 trigonometric functions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/6-1.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans6.png)
प्रश्न 7 – trigonometry class 11 ncert
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/7-2.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans7.png)
प्रश्न 8 – up board class 11 maths solution
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/8-1.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans8.png)
प्रश्न 9 – trigonometric functions class 11 solutions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/9-1.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans9-876x1024.png)
प्रश्न 10 – class 11 trigonometric functions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/10-1.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans10.png)
प्रश्न 11 – trigonometry class 11 ncert
![up board 11 maths solution](https://shubhampal.co.in/wp-content/uploads/2023/01/11-1.png)
![up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans11.png)
प्रश्न 12 – up board class 11 maths solution
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/12-1.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans12-620x1024.png)
प्रश्न 13 – trigonometric functions class 11 solutions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/13-1.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans13.png)
up board 11 maths solution
प्रश्न 14 – class 11 trigonometric functions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ques14-1024x753.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans14.1-808x1024.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans14.2-763x1024.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans14.3-546x1024.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans14.4-880x1024.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans14.5-763x1024.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans14.6.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans14.7-763x1024.png)
![up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans14.8.png)
प्रश्न 15 – trigonometry class 11 ncert
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/15..png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans15.png)
प्रश्न 16 – up board class 11 maths solution
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/17-1-1024x205.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans17-403x1024.png)
प्रश्न 17 – trigonometric functions class 11 solutions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/18..png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans18.png)
प्रश्न 18 – class 11 trigonometric functions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/19..png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans19-460x1024.png)
प्रश्न 19 – trigonometry class 11 ncert
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/21..png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans21-759x1024.png)
प्रश्न 20 – up board class 11 maths solution
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/22..png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.5-ans22.png)
up board 11 maths solution
up board 11 math solution
Exercise(अभ्यास) 3.6
up board solution class 11 maths chapter 3
प्रश्न 1 – trigonometric functions class 11 solutions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/1-4.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans1-548x1024.png)
प्रश्न 2 – class 11 trigonometric functions
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/2-4.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans2-483x1024.png)
प्रश्न 3 – trigonometry class 11 ncert
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/3-3.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans3-935x1024.png)
प्रश्न 4 – up board class 11 maths solution
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/4-1.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans4-487x1024.png)
up board 11 maths solution
प्रश्न 5 – trigonometric functions class 11 solutions
सिद्ध कीजिए (Prove that) –
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ques5-1024x116.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans5-585x1024.png)
प्रश्न 6 – class 11 trigonometric functions
सिद्ध कीजिए (Prove that) –
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ques6.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans6.1.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans6.3.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans6.4.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans6.5.png)
प्रश्न 7 – trigonometry class 11 ncert
सिद्ध कीजिए (Prove that) –
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/7.1.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/7.2.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans7.2-ans7.4.png)
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![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans7.6-905x1024.png)
प्रश्न 8 – up board class 11 maths solution
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/8iii..png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans8.png)
प्रश्न 9 – trigonometric functions class 11 solutions
सिद्ध कीजिए (Prove that) –
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ques10.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans10.png)
प्रश्न 10 – class 11 trigonometric functions
सिद्ध कीजिए (Prove that) –
cos4θ-cos4α = 8(cosθ-cosα)(cosθ+cosα)(cosθ-sinα)(cosθ+sinα)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans14.png)
up board 11 maths solution
प्रश्न 11 – trigonometry class 11 ncert
सिद्ध कीजिए (Prove that) –
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ques15.png)
![up board class 11 maths solution , trigonometric functions class 11 solutions , class 11 maths trigonometric functions , up board 11 math solution](https://shubhampal.co.in/wp-content/uploads/2023/01/ex-3.6-ans15-755x1024.png)
Up Board 11 Math Solution Chapter 3 Trigonometric Functions PDF
दोस्तों मैंने इस up board class 11 maths solution की पोस्ट में जितने भी सवाल बताये है मैं उम्मीद करता हूँ की वे सभी सवाल आपको बोहोत ही आसानी से समझ में आगये होंगे और अब इस उन सभी सवालों हल करने के बाद में मै यह भी उम्मीद कर रहा हूँ की अब आप वे सभी सवाल भी बोहोत ही आसानी से हल कर लेंगे जो आपको पहले बोहोत ही ज्यादा कठिन लगते थे या बिल्कुल भी समझ में नहीं आते थे |
up board solution class 11 maths chapter 3
FAQ – UP Board Class 11 Maths Solution
Ans: हाँ ! अगर आप इन सभी सवालों को हल कर लेते है और इन सभी सवालों में जो भी concepts बताये गए है अगर साथ-ही-साथ आप उन सभी concepts भी अच्छे से समझते है तो आप बोहोत ही आसानी से अच्छे नम्बर ला सकते है |
Ans: हाँ ! यह सभी सवालों बोहोत ही आसान है अगर आप इन्हें एक बार अच्छे से समझकर हल कर लेते है तो आपको इन्हें दोबारा हल करने में बिल्कुल भी कठिनाई नहीं होगी और आप इन्हें बोहोत ही आसानी से हल कर पाएंगे |
Ans: यह सभी नोट्स मेरे (शुभम पाल) द्वारा लिखे गए है जो की वास्तव में बोहोत ही बेहतरीन है क्यूंकि इन्ही के द्वारा मैंने Class 11th में बोहोत ही अच्छे नंबर प्राप्त किये थे |
Ans: हाँ ! इसमें कोई शक नहीं है | यह नोट्स वास्तव में आपके लिए बोहोत ही ज्यादा फायदेमंद है क्यूंकि आप जब इन सभी सवालों को हल करेंगे तो इसका अंदाजा आपको अपनेआप ही होजायेगा की यह आपके लिए सच में कितने ज्यादा फायदेमंद है |
Ans: हाँ और न ! क्यूंकि यह आप पर निर्भर करता है | अगर आप इसमें मेहनत करते है और गणित (मैथ) को ज्यादा से ज्यादा समय देते है तो यह आपके लिए बोहोत सरल है और अगर आप मेहनत कर रहे है फिर भी आपको यह कठिन लगता है तो ऐसे ही मेहनत करते रहिये आपको इसका अच्छा परिणाम जरुर प्राप्त होगा |
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