Question

Prove that: sec^4 alpha - sec^2 alpha = tan^4 alpha + tan^2alpha.

Answer 1

Answer:

Proved

Step-by-step explanation:

Trigonometry Identity

$\boxed{sec^2x=tan^2x+1}$

$sec^4\alpha -sec^2\alpha =tan^4\alpha +tan^2\alpha \\\\sec^2\alpha(sec^2\alpha-1)=tan^4\alpha +tan^2\alpha\\\\(tan^2\alpha+1)tan^2\alpha=tan^4\alpha +tan^2\alpha\\\\tan^4\alpha +tan^2\alpha=tan^4\alpha +tan^2\alpha$

Proved.

Detail

Chapter : Trigonometry

Keyword : dio.Trigonometry

Answer 2

I hope it will help...

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