Prove: Tan^2 - sin^2 = sin^4*Sec^4

[Miike012]

Homework Statement

Prove:
Tan^2 - sin^2 = sin^4*Sec^4


This one I am having trouble with... My thought is that I need to make a fraction on the lift side some how ... then cross multiply then some how remove the denominator...?
Can some one please give me a hint.. thank you.

The Attempt at a Solution

Tan^2 - sin^2
.
.
= sin^2/cos^2 - sin^2

=sin^2/cos^2 - sin^4/sin^2

 

[tiny-tim]

Hi Miike012!

(try using the X² icon just above the Reply box )

Tan^2 - sin^2
.
.
= sin^2/cos^2 - sin^2

Instead, try = tan² - tan²cos²

 

[Miike012]

I actually wrote down the probl. wrong...
It is

Tan^2 - sin^2 = sin^4*Sec^2
I figured it out though.