Question

tan^2 x- sin^2 x= tan^2 x sin^2 x

Answer 1

tan²x - sin²x
= sin²x/cos²x ⁻ sin²x
= sin²x (1/cos²x - 1)
= sin²x {1 - cos²x}/{cos²x}
= sin²x . (sin²x/cos²x)
= sin²x . tan²x