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

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


Simplifying
cos(6x) = 2cos2(3x) + -1

Remove parenthesis around (6x)
cos * 6x = 2cos2(3x) + -1

Reorder the terms for easier multiplication:
6cos * x = 2cos2(3x) + -1

Multiply cos * x
6cosx = 2cos2(3x) + -1

Remove parenthesis around (3x)
6cosx = 2cos2 * 3x + -1

Reorder the terms for easier multiplication:
6cosx = 2 * 3cos2 * x + -1

Multiply 2 * 3
6cosx = 6cos2 * x + -1

Multiply cos2 * x
6cosx = 6cos2x + -1

Reorder the terms:
6cosx = -1 + 6cos2x

Solving
6cosx = -1 + 6cos2x

Solving for variable 'c'.

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

Add '-6cos2x' to each side of the equation.
6cosx + -6cos2x = -1 + 6cos2x + -6cos2x

Combine like terms: 6cos2x + -6cos2x = 0
6cosx + -6cos2x = -1 + 0
6cosx + -6cos2x = -1

Reorder the terms:
1 + 6cosx + -6cos2x = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 6cosx + -6cos2x = 0

The solution to this equation could not be determined.

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