Question

Tan^2θ – sin^2θ = tan^2θ . sin^2 θ

Answer 1

Step-by-step explanation:

tan²-sin²

=sin²/cos²-sin²

=sin²-sin²cos²/cos²

=sin²(1-cos²)/cos²

=sin².sin²/cos²

=tan².sin²

Answer 2

Step-by-step explanation:

tan^2A-sin^2A

1/cot^2A-1/cosec^2A

cosec^2 A-cot^2A/cosec^2A(cot^2A)

1/cosec^2A(cot^2A)

1/cosec^2A×1/cot^2A

sin^2A ×tan^2A