trigonometric functions class 11 ncert solutions, trigonometry, trigonometry formula, trigonometry formulas, trigonometry basics, trigonometry problems, trigonometry questions, learn trigonometry, how to learn trigonometry, mathematics trigonometry, trigonometry solutions, trigonometry tutorial, trigonometry examples, plane trigonometry, trigonometry notes, trigonometry for dummies, trigonometry for beginners, trigonometry videos, trigonometry in mathematics, trigonometry mathematics, how to tea, ncert solutions, chapter 3,chapter 3ncert solutions, trigonometric functions ncert solutions, ncert solutions for class 11 maths, class 11 maths ncert solutions, ncert solutions for class 11, ncert class 11 maths, class 11 maths, class 11 maths solution, ncert solutions class 11, class 11 maths

**Question 1. **Find the radian measures corresponding to the following degree measures:

(i) 25°

(ii) – 47°30

(iii)240°

(iv) 520°

**Question 2. **Find the degree measures corresponding to the following radian measurs
(Use
π 22
7
= ).

(i)
11
16

(ii) – 4

(iii)
5π
3

(iv)
7π
6

**Question 3. ** A wheel makes 360 revolutions in one minute. Through how many radians does
it turn in one second?

**Question 4. **Find the degree measure of the angle subtended at the centre of a circle of
radius 100 cm by an arc of length 22 cm (Use
π 22
7
= ).

**Question 5. **In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of
minor arc of the chord.

**Question 6. **If in two circles, arcs of the same length subtend angles 60° and 75° at the
centre, find the ratio of their radii.

**Question 7. **Find the angle in radian through which a pendulum swings if its length is 75 cm
and th e tip describes an arc of length
(i) 10 cm (ii) 15 cm (iii) 21 cm

** Find the values of other five trigonometric functions in Exercises 1 to 5. **

**Question 1. **cos x = –
1
2 , x lies in third quadrant.

**Question 2. **sin x =
3
5, x lies in second quadrant.

**Question 3. ** cot x = 4
3
, x lies in third quadrant.

**Question 4. **sec x =
13
5 , x lies in fourth quadrant.

** Question 5. **tan x = –
5
12 , x lies in second quadrant.
Find the values of the trigonometric functions in Exercises 6 to 10.

**Question 6. **sin 765°

**Question 7. **cosec (– 1410°)
8. tan
19π
3
9. sin (–
11π
3
)
10. cot (–
15π
4
)

EXERCISE

**Prove that:**

**Question 1. **sin2
π
6 + cos2 3
π
– tan2
– 1
4 2
π
=

**Question 2. **2sin2
6
π
+ cosec2 7 cos2 3
6 3 2
π π
=

**Question 3. ** cot2 cosec 5 3tan2 6
6 6 6
π π π
+ + =

**Question 4. **2sin2 3 2cos2 2sec2 10
4 4 3
π π π
+ + =

** Question 5. **Find the value of:

(i) sin 75°

(ii) tan 15°

**Find the principal and general solutions of the following equations: **

**
Question 6. **tan x = 3

**Question 7. **sec x = 2

**Question 8. ** cot x = − 3

**Question 9. **cosec x = – 2

Find the general solution for each of the following equations:

**Question 10. **cos 4 x = cos 2 x

**Question 11. **cos 3x + cos x – cos 2x = 0

**Question 12. **sin 2x + cosx = 0 8. sec2 2x = 1– tan 2x

Please Wait pdf file is loading **(कृपया इंतजार करें pdf file लोड हो रही है)...**

Loading speed will depend up on your download speed. **Pdf file के लोड होने में लगा समय आपकी डाउनलोड स्पीड पर निर्भर करेगा **

Loading document ...

Loading page ...

To download above pdf file Link is **given below**.

उपर दिखायी दे रही पीडीऍफ़ को डाउनलोड करने का लिंक**नीचे दिया गया है **

उपर दिखायी दे रही पीडीऍफ़ को डाउनलोड करने का लिंक

- Chapter 10 Straight lines
**[Ques wise Ans]** - Chapter 11 Conic Section
**[Ques wise Ans]** - Chapter 12 Introduction to 3D Geometry
**[Ques wise Ans]** - Chapter 13 Limit and Derivatives
**[Ques wise Ans]** - Chapter 1 Sets
- Chapter 2 Relations and Functions
- Chapter 3 Trigonometric Functions
- Chapter 4 Principle of Mathematical Induction
- Chapter 5 Complex Numbers and Quadratic Equations
- Chapter 6 Linear Inequalities
- Chapter 7 Permutations and Combinations
- Chapter 8 Binomial Theorem
- Chapter 9 Sequences and Series
- Chapter 10 Straight Lines
- Chapter 11 Conic Sections
- Chapter 12 Introduction to Three Dimensional Geometry
- Chapter 13 Limits and Derivatives
- Chapter 14 Mathematical Reasoning
- Chapter 15 Statistics
- Chapter 16 Probability

- NCERT Solutions for Class 9
- NCERT Solutions for Class 10
- NCERT Solutions for Class 11
- NCERT Solutions for Class 12

If You have any problem/query related to above page please send us your Query to [email protected] with code **Serial No1526/1107**. Thanks

Copyright @ ncerthelp.com A free educational website for CBSE, ICSE and UP board.