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

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


Simplifying
1 + cos2(6x) + -2cos(6x) = tan2(3x)

Remove parenthesis around (6x)
1 + cos2 * 6x + -2cos(6x) = tan2(3x)

Reorder the terms for easier multiplication:
1 + 6cos2 * x + -2cos(6x) = tan2(3x)

Multiply cos2 * x
1 + 6cos2x + -2cos(6x) = tan2(3x)

Remove parenthesis around (6x)
1 + 6cos2x + -2cos * 6x = tan2(3x)

Reorder the terms for easier multiplication:
1 + 6cos2x + -2 * 6cos * x = tan2(3x)

Multiply -2 * 6
1 + 6cos2x + -12cos * x = tan2(3x)

Multiply cos * x
1 + 6cos2x + -12cosx = tan2(3x)

Reorder the terms:
1 + -12cosx + 6cos2x = tan2(3x)

Remove parenthesis around (3x)
1 + -12cosx + 6cos2x = an2t * 3x

Reorder the terms for easier multiplication:
1 + -12cosx + 6cos2x = 3an2t * x

Multiply an2t * x
1 + -12cosx + 6cos2x = 3an2tx

Solving
1 + -12cosx + 6cos2x = 3an2tx

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + -12cosx + -1 + 6cos2x = -1 + 3an2tx

Reorder the terms:
1 + -1 + -12cosx + 6cos2x = -1 + 3an2tx

Combine like terms: 1 + -1 = 0
0 + -12cosx + 6cos2x = -1 + 3an2tx
-12cosx + 6cos2x = -1 + 3an2tx

Reorder the terms:
1 + -3an2tx + -12cosx + 6cos2x = -1 + 3an2tx + 1 + -3an2tx

Reorder the terms:
1 + -3an2tx + -12cosx + 6cos2x = -1 + 1 + 3an2tx + -3an2tx

Combine like terms: -1 + 1 = 0
1 + -3an2tx + -12cosx + 6cos2x = 0 + 3an2tx + -3an2tx
1 + -3an2tx + -12cosx + 6cos2x = 3an2tx + -3an2tx

Combine like terms: 3an2tx + -3an2tx = 0
1 + -3an2tx + -12cosx + 6cos2x = 0

The solution to this equation could not be determined.

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