Trig identity question.

Verify that:
sec^4x * tan^2x=(tan^2x+tan^4x)sec^2x
I have a test tomorrow on stuff like this, and I can't prove/verify problems like these.

Apply the identity: sec^2 x = tan^2 x + 1.

 Spoiler

on the left side, once, so that there's still a sec^2 x left on both sides. Then distribute the parentheses and it should check out.

Verify that:
sex^4x * tan^2x=(tan^2x+tan^4x)sec^2x
I have a test tomorrow on stuff like this, and I can't prove/verify problems like these.

hahahaha~
lols.

Gonna reiterate what russt said just in case the instructions don't quite click:

S^4 * T^2
=S^2 * (T^2 + 1) * T^2

now multiply the T^2 in to the (T^2 +1)

you get

S^2 * (T^4 + T^2)