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

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


Simplifying
1 + -1cos2(3x) = sin2(3x)

Remove parenthesis around (3x)
1 + -1cos2 * 3x = sin2(3x)

Reorder the terms for easier multiplication:
1 + -1 * 3cos2 * x = sin2(3x)

Multiply -1 * 3
1 + -3cos2 * x = sin2(3x)

Multiply cos2 * x
1 + -3cos2x = sin2(3x)

Remove parenthesis around (3x)
1 + -3cos2x = in2s * 3x

Reorder the terms for easier multiplication:
1 + -3cos2x = 3in2s * x

Multiply in2s * x
1 + -3cos2x = 3in2sx

Solving
1 + -3cos2x = 3in2sx

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 + -1 + -3cos2x = -1 + 3in2sx

Combine like terms: 1 + -1 = 0
0 + -3cos2x = -1 + 3in2sx
-3cos2x = -1 + 3in2sx

Divide each side by '-3os2x'.
c = 0.3333333333o-1s-2x-1 + -1in2o-1s-1

Simplifying
c = 0.3333333333o-1s-2x-1 + -1in2o-1s-1

Reorder the terms:
c = -1in2o-1s-1 + 0.3333333333o-1s-2x-1

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