Write each expression in factored form as an algebraic expression of a single trigonometric function. sec^4 x + sec^2 x tan^2 x - 2tan^4 x

Answer 1

I will not solve this for you, but I will tell you how to do it.

First express all the terms in sines and cosines only.

You will find that there is a common denominator of cos⁴x.

Then express all the sin terms using sin²x + cos²x = 1.

You should find a numerator which has only cosine terms as well.