NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions — Exercise 3.3

Question 1:sin2
6 + cos2 3 p – tan2 1 – 4 2 p =

Question 2:2sin2 6 p + cosec2 7 2 3 cos 6 3 2 p p =

NCERT class 11 maths chapter 3 Trigonometric Functions

Question 3:2 5 2 cot cosec 3tan 6 6 6 6 p π p + + =

Question 4:2 3 2 2 2sin 2cos 2sec 10 4 4 3 p π p + + =

Exercise 3.3 maths class 11 Chapter 3 Trigonometric Functions

Question 5:Find the value of: (i) sin 75° (ii) tan 15° Prove the following:

CBSE class 11 maths ncert solutions Chapter 3

Question 6:cos cos sin sin sin ( ) 4 4 4 4 x y x y x y æ π ö æ π ö æ π ö æ π ö ç − ÷ ç − ÷ − ç − ÷ ç − ÷ = + è ø è ø è ø è ø

Question 7:2
tan 4 1 tan
1 tan tan 4 x x x x æ + ö ç ÷ æ + ö è ø = ç ÷ æ − ö è − ø ç ÷ è ø

class 11 maths solutions Trigonometric Functions

Question 8:cos ( ) cos ( ) 2 cot sin ( ) cos 2 x x x x x p + − = p − æ π + ö ç ÷ è ø

Question 9:3
3
cos cos (2
) cot cot (2
) 1 2 2 x x x x æ ö é æ ö ù ç + ÷ + ê ç − ÷ + + ú = è ø ë è ø û

NCERT class 11 chemistry chapter 3 exercise solutions

Question 10:sin (n + 1)x sin (n + 2)x + cos (n + 1)x cos (n + 2)x = cos x

Question 11:3 3 cos cos 2 sin 4 4 x x x æ π ö æ π ö ç + ÷ − ç − ÷ = − è ø è ø

Trigonometric Functions class 11 ncert solutions

Question 12:sin2 6x – sin2 4x = sin 2x sin 10x

Question 13:cos2 2x – cos2 6x = sin 4x sin 8x

Question 14:sin2 x + 2 sin 4x + sin 6x = 4 cos2 x sin 4x

Exercise 3.3 class 11 Math ncert solutions Chapter 3

Question 15:cot 4x (sin 5x + sin 3x) = cot x (sin 5x – sin 3x)

Question 16:cos cos sin sin sin cos 9 5 17 3 2 10 x x x x x x − − = −

EXERCISE 3.3Prove that:1. sin26

Question 17:sin sin cos cos tan 5 3 5 3 4 x x x x x + + =

Question 18:sin sin cos cos tan x y x y − x y + = − 2

class 11 maths ncert solution pdf download Chapter 3

Question 19:sin sin cos cos tan x x x x x + + = 3 3 2

Question 20:sin sin sin cos sin x x x x x − − = 3 2 2 2

Trigonometric Functions Math ncert solution class 11

Question 21:cos cos cos sin sin sin cot 4 3 2 4 3 2 3 x x x x x x x

Trigonometric Functions ncert solutions class 11

Question 22:cot x cot 2x – cot 2x cot 3x – cot 3x cot x = 1

Question 23:2 2 4 4tan (1 tan ) tan 4 1 6 tan tan x x x x x − = − +

CBSE NCERT Solutions For class 11 Trigonometric Functions

Question 24:cos 4x = 1 – 8sin2 x cos2 x

Question 25:cos 6x = 32 cos6 x – 48cos4 x + 18 cos2 x – 1