SOLUTION: please help me prove this equation: sec^4x-2sec^2x=tan^4x-1

SOLUTION: please help me prove this equation: sec^4x-2sec^2x=tan^4x-1

Algebra.Com

Question 939614: please help me prove this equation:
sec^4x-2sec^2x=tan^4x-1
Answer by vicgonzerx(31) (Show Source): You can put this solution on YOUR website!
sec^4 x -2sec^2x=tan^4 x-1
sec^2 x (sec^ x-2)=tan^4 x-1
tan^2 x+1(tan^2 x+1-2)=tan^4 x-1
tan^2 x+1(tan^2 x-1)=tan^4 x-1
tan^4 x-1=tan^4 x-1---------Q.E.D

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