Find an equivalent expression for-tan^2x using the identities for trig functions

Question

Find an equivalent expression for-tan^2x using the identities for trig functions

Answer 1

Hey! Lets solve this shall we ?

So, we must find the equivalent expression for -tan²x using an identity such that

tan²x = sec²x - 1..........Since our given tangent is negative, we have

-tan²x = - (sec²x - 1) = 1 - sec²x ............after distributing the the negative in!

I hope this helped!