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

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


Simplifying
Cos2 + -1sin2x = 2cos2x + -1

Reorder the terms:
-1in2sx + os2C = 2cos2x + -1

Reorder the terms:
-1in2sx + os2C = -1 + 2cos2x

Solving
-1in2sx + os2C = -1 + 2cos2x

Solving for variable 'i'.

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

Add '-1os2C' to each side of the equation.
-1in2sx + os2C + -1os2C = -1 + 2cos2x + -1os2C

Combine like terms: os2C + -1os2C = 0
-1in2sx + 0 = -1 + 2cos2x + -1os2C
-1in2sx = -1 + 2cos2x + -1os2C

Divide each side by '-1n2sx'.
i = n-2s-1x-1 + -2cn-2os + n-2osx-1C

Simplifying
i = n-2s-1x-1 + -2cn-2os + n-2osx-1C

Reorder the terms:
i = -2cn-2os + n-2osx-1C + n-2s-1x-1

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