Hi. looking for help with simplifying an identity. The identity to be simplified is:

tan^4x + 2tan^2x + 1.

I'm confident that 2tan^2x + 1 will break down into:

tan^2x + tan^2x + 1 which equals tan^2x + sec^2x. But I'm not sure how to treat the tan^4 when converting to secant.

Any help will be much appreciate.

Mike Clemmons