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

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


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

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

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

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

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

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

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

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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