Cos^4x-sin^4=cos(2x)

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Solution for Cos^4x-sin^4=cos(2x) equation:


Simplifying
Cos4x + -1sin4 = cos(2x)

Reorder the terms:
-1in4s + os4xC = cos(2x)

Remove parenthesis around (2x)
-1in4s + os4xC = cos * 2x

Reorder the terms for easier multiplication:
-1in4s + os4xC = 2cos * x

Multiply cos * x
-1in4s + os4xC = 2cosx

Solving
-1in4s + os4xC = 2cosx

Solving for variable 'i'.

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

Add '-1os4xC' to each side of the equation.
-1in4s + os4xC + -1os4xC = 2cosx + -1os4xC

Combine like terms: os4xC + -1os4xC = 0
-1in4s + 0 = 2cosx + -1os4xC
-1in4s = 2cosx + -1os4xC

Divide each side by '-1n4s'.
i = -2cn-4ox + n-4os3xC

Simplifying
i = -2cn-4ox + n-4os3xC

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