Simplify and write the trigonometric expression in terms of sine and cosine:

Question

tan^2 x-sec^2 x=

Answer 1

[(sin^2 x) / (cos^2 x)] - [1 / (cos^2 x)]

[(sin^2 x) - 1] / (cos^2 x)

-(cos^2 x) / (cos^2 x) = -1

Answer 2

since one of your basic trig identities is

sec^2 x = 1 + tan^2 x

this should not be too hard...