Question

Verify that each trigometric equation is an identity.

1/1-sinx + 1/1+sinx = 2 sec^2x

Answer 1

I will assume you mean

1/(1-sinx) + 1/(1+sinx) = 2 sec^2 x

LS = (1 + sinx + 1 - sinx)/((1-sinx)(1+sinx))
= 2/(1-sin^2 x)
= 2/cos^2 x
= 2sec^2 x
= RS