Question

I have to verify that this is true using trig identities

sec^4(x)−sec^2(x)=tan^4(x)+tan^2(x)

Answer 1

consider left hand side
sec^4(x)−sec^2(x) = {sec^2(x)}^2-(1+tan^2(x))
= {1+tan^2(x)}^2-1-tan^2(x)
=1+tan^4(x)+2tan^2(x)-1-tan^2(x)
=tan^4(x)+tan^2(x)=right hand side
hence proved!!!!!!

Answer 2

Thank you!!! Wow .. that was too simple.

Answer 3

:)