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

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


Simplifying
Cos2(4x) + -1sin2(4x) = cosx

Remove parenthesis around (4x)
os2C * 4x + -1sin2(4x) = cosx

Reorder the terms for easier multiplication:
4os2C * x + -1sin2(4x) = cosx

Multiply os2C * x
4os2xC + -1sin2(4x) = cosx

Remove parenthesis around (4x)
4os2xC + -1in2s * 4x = cosx

Reorder the terms for easier multiplication:
4os2xC + -1 * 4in2s * x = cosx

Multiply -1 * 4
4os2xC + -4in2s * x = cosx

Multiply in2s * x
4os2xC + -4in2sx = cosx

Reorder the terms:
-4in2sx + 4os2xC = cosx

Solving
-4in2sx + 4os2xC = cosx

Solving for variable 'i'.

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

Add '-4os2xC' to each side of the equation.
-4in2sx + 4os2xC + -4os2xC = cosx + -4os2xC

Combine like terms: 4os2xC + -4os2xC = 0
-4in2sx + 0 = cosx + -4os2xC
-4in2sx = cosx + -4os2xC

Divide each side by '-4n2sx'.
i = -0.25cn-2o + n-2osC

Simplifying
i = -0.25cn-2o + n-2osC

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