cos(6x)=1-2sin^2(3x)

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Solution for cos(6x)=1-2sin^2(3x) equation:


Simplifying
cos(6x) = 1 + -2sin2(3x)

Remove parenthesis around (6x)
cos * 6x = 1 + -2sin2(3x)

Reorder the terms for easier multiplication:
6cos * x = 1 + -2sin2(3x)

Multiply cos * x
6cosx = 1 + -2sin2(3x)

Remove parenthesis around (3x)
6cosx = 1 + -2in2s * 3x

Reorder the terms for easier multiplication:
6cosx = 1 + -2 * 3in2s * x

Multiply -2 * 3
6cosx = 1 + -6in2s * x

Multiply in2s * x
6cosx = 1 + -6in2sx

Solving
6cosx = 1 + -6in2sx

Solving for variable 'c'.

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

Divide each side by '6osx'.
c = 0.1666666667o-1s-1x-1 + -1in2o-1

Simplifying
c = 0.1666666667o-1s-1x-1 + -1in2o-1

Reorder the terms:
c = -1in2o-1 + 0.1666666667o-1s-1x-1

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