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

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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

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1 Answer

  1. 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)

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