NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions Ex 3.3 are part of NCERT Solutions for Class 11 Maths. Here we have given NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions Ex 3.3.

- Trigonometric Functions Class 11 Ex 3.1
- Trigonometric Functions Class 11 Ex 3.2
- Trigonometric Functions Class 11 Ex 3.4

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 11 |

Subject |
Maths |

Chapter |
Chapter 3 |

Chapter Name |
Trigonometric Functions |

Exercise |
Ex 3.3 |

Number of Questions Solved |
25 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions Ex 3.3

**Question 1.**

Prove that:

**Solution.**

L.H.S. =

**Question 2.**

**Solution.**

L.H.S. =

**Question 3.**

**Solution.**

L.H.S. =

**Question 4.**

**Solution.**

L.H.S. =

**Question 5.**

Find the value of:

(i) sin 75°

(ii) tan 15°

**Solution.**

(i) sin (75°) = sin (30° + 45°)

(ii) tan 15° = tan (45° – 30°)

Prove the following:

**Question 6.**

**Solution.**

We have,

**Question 7.**

**Solution.**

We have,

**Question 8.**

**Solution.**

We have,

**Question 9.**

**Solution.**

We have,

**Question 10.**

sin(n +1 )x sin(n + 2)x + cos(n +1 )x cos(n + 2)x = cosx

**Solution.**

We have,

**Question 11.**

**Solution.**

We have,

**Question 12.**

sin^{2}6x – sin^{2}4x= sin^{2}x sin10x

**Solution.**

**Question 13.**

cos^{2}2x – cos^{2}6x = sin 4x sin 8x

**Solution.**

**Question 14.**

sin2x + 2 sin 4x + sin 6x = 4 cos^{2} x sin 4x

**Solution.**

We have,

**Question 15.**

cot 4x (sin 5x + sin 3x) = cot x (sin 5x – sin 3x)

**Solution.**

**Question 16.**

**Solution.**

We have,

**Question 17.**

**Solution.**

We have,

**Question 18.**

**Solution.**

**Question 19.**

**Solution.**

**Question 20.**

**Solution.**

**Question 21.**

**Solution.**

**Question 22.**

cot x cot 2x – cot 2x cot 3x – cot3x cotx = 1

**Solution.**

We know that 3x = 2x + x.

Therefore,

**Question 23.**

**Solution.**

**Question 24.**

cos 4x = 1 – 8 sin^{2}x cos^{2}x

**Solution.**

**Question 25.**

cos 6x = 32 cos6 x – 48 cos^{4}x + 18 cos^{2} x -1

**Solution.**

We hope the NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions Ex 3.3 help you. If you have any query regarding NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions Ex 3.3, drop a comment below and we will get back to you at the earliest.

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