SOLUTION: Verify that tan^3(x)sec^2(x)=(sec^2(x)-sec^4(x))tan(x)

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Question 353494: Verify that
tan^3(x)sec^2(x)=(sec^2(x)-sec^4(x))tan(x)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let T=tan%28x%29,+S=sec%28x%29
T%5E3S%5E2=%28S%5E2-S%5E4%29T
T%5E2=1-S%5E2
By trignometric identity,
1%2BT%5E2=S%5E2
T%5E2=1-%281%2BT%5E2%29
T%5E2=1-1-T%5E2
T%5E2=-T%5E2
Oops, no as it currently is written, you cannot verify your equation.
Check to make sure it's written correctly.