## NCERT Solutions For Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.4

**Ex 8.4 Class 10 Maths Question 1.**

Express the trigonometric ratios sin A, sec A and tan A in terms of cot A.Solution:

**Ex 8.4 Class 10 Maths Question 2.**

Write all the other trigonometric ratios of ∠A in terms of sec A.

Solution:

Download NCERT Solutions For Class 10 Maths Chapter 8 Introduction to Trigonometry PDF

**Ex 8.4 Class 10 Maths Question 3.**

Evaluate:

Solution:

**Ex 8.4 Class 10 Maths Question 4.**

Choose the correct option. Justify your choice.

(i) 9 sec² A – 9 tan² A = ……

(A) 1

(B) 9

(C) 8

(D) 0

(ii) (1 + tan θ + sec θ) (1 + cot θ – cosec θ) = ………..

(A) 0

(B) 1

(C) 2

(D) -1

(iii) (sec A + tan A) (1 – sin A) = ………….

(A) sec A

(B) sin A

(C) cosec A

(D) cos A

(iv) (frac { 1+{ tan }^{ 2 }A }{ 1+cot^{ 2 }A }) = ………..

(A) sec² A

(B) -1

(C) cot² A

(D) tan² A

Solution:

**Ex 8.4 Class 10 Maths Question 5.**

Prove the following identities, where the angles involved are acute angles for which the expressions are defined.

Solution:

### NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry (Hindi Medium) Ex 8.4

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