cos^3x-1=1-2sin^2x

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Solution for cos^3x-1=1-2sin^2x equation: 


Simplifying
cos3x + -1 = 1 + -2sin2x

Reorder the terms:
-1 + cos3x = 1 + -2sin2x

Solving
-1 + cos3x = 1 + -2in2sx

Solving for variable 'c'.

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

Add '1' to each side of the equation.
-1 + 1 + cos3x = 1 + 1 + -2in2sx

Combine like terms: -1 + 1 = 0
0 + cos3x = 1 + 1 + -2in2sx
cos3x = 1 + 1 + -2in2sx

Combine like terms: 1 + 1 = 2
cos3x = 2 + -2in2sx

Divide each side by 'os3x'.
c = 2o-1s-3x-1 + -2in2o-1s-2

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

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

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