Precalculus?

Question

Verify the identity

sin(x)/1-sin^2(x) = sec(x)tan(x)

How do you verify this..?

Answer 1

Verify the identity.

sinx/(1-sin²x) = (secx)(tanx)

Let's work with the left hand side.

sinx/(1-sin²x) = sinx/cos²x = (1/cosx)(sinx/cosx)
= (secx)(tanx) = Right Hand Side