Question

How do you prove the identity `Sec^2(x) + 2 cos(x) + 1/2*csc^2(x) = 5`?

Answer 1

It doesn't look like an identity to me. To prove that it is an identity, you should prove that the equality holds for every `x`, which is false.

The most you can do, in this case, is solve the equation, which means to find the values of `x` for which the equality holds.