Tuesday, 2 December 2014

trigonometry - Simple trigonometric identity proof: $sin^4x-cos^4x=2sin^2x-1$

How would you verify that this trigonometric equation is an identity?



$$\sin^4x-\cos^4x=2\sin^2x-1? $$



The 4th powers are really throwing me off, and i'm still fairly new to this and there is no clear identity from the start like $\cos^2x + \sin^2x=1$




Thanks

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