cos^4x-sin^4=1-2sin^2x

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Solution for cos^4x-sin^4=1-2sin^2x equation: 


Simplifying
cos4x + -1sin4 = 1 + -2sin2x

Solving
cos4x + -1in4s = 1 + -2in2sx

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add 'in4s' to each side of the equation.
cos4x + -1in4s + in4s = 1 + -2in2sx + in4s

Combine like terms: -1in4s + in4s = 0
cos4x + 0 = 1 + -2in2sx + in4s
cos4x = 1 + -2in2sx + in4s

Divide each side by 'os4x'.
c = o-1s-4x-1 + -2in2o-1s-3 + in4o-1s-3x-1

Simplifying
c = o-1s-4x-1 + -2in2o-1s-3 + in4o-1s-3x-1

Reorder the terms:
c = -2in2o-1s-3 + in4o-1s-3x-1 + o-1s-4x-1

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