Question

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Answer 1

Step-by-step explanation:

R.T.P : tan²A - sin²A = tan²A × sin²A

= $\frac{sin^2A}{cos^2A} - sin^2A$    

= $\frac{sin^2A - sin^2A . cos^2A}{cos^2A}$

= $\frac{sin^2A(1 - cos^2A)}{cos^2A}$

= $\frac{sin^2A}{cos^2A}$ × $sin^2A$ as (1 - cos²A) = sin²A

= tan²A × sin²A