This ques is from ML Aggarwal book, Avichal publication, class 10th.

Chapter 18, trigonometric identities

**Express the ratios cos A, tan A and sec A in terms of sin A**

Provde the solution with mentioning identities, wherever applied.

Class10, ML Aggarwal, trigonometric identities, ques no. 3

We know that,

sin²A + cos² A = 1

So,

cos A = √(1 – sin² A)

tan A = sin A/cos A = sin A/ √(1 – sin² A)

sec A = 1/cos A = 1/ (√1 – sin² A)