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

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


Simplifying
sin2x + -1cos2x = 1 + -2cos2x

Reorder the terms:
-1cos2x + in2sx = 1 + -2cos2x

Solving
-1cos2x + in2sx = 1 + -2cos2x

Solving for variable 'c'.

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

Add '2cos2x' to each side of the equation.
-1cos2x + 2cos2x + in2sx = 1 + -2cos2x + 2cos2x

Combine like terms: -1cos2x + 2cos2x = 1cos2x
1cos2x + in2sx = 1 + -2cos2x + 2cos2x

Combine like terms: -2cos2x + 2cos2x = 0
1cos2x + in2sx = 1 + 0
1cos2x + in2sx = 1

Add '-1in2sx' to each side of the equation.
1cos2x + in2sx + -1in2sx = 1 + -1in2sx

Combine like terms: in2sx + -1in2sx = 0
1cos2x + 0 = 1 + -1in2sx
1cos2x = 1 + -1in2sx

Divide each side by '1os2x'.
c = o-1s-2x-1 + -1in2o-1s-1

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

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

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