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

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


Simplifying
sin2(3x) = 3cos2(3x)

Remove parenthesis around (3x)
in2s * 3x = 3cos2(3x)

Reorder the terms for easier multiplication:
3in2s * x = 3cos2(3x)

Multiply in2s * x
3in2sx = 3cos2(3x)

Remove parenthesis around (3x)
3in2sx = 3cos2 * 3x

Reorder the terms for easier multiplication:
3in2sx = 3 * 3cos2 * x

Multiply 3 * 3
3in2sx = 9cos2 * x

Multiply cos2 * x
3in2sx = 9cos2x

Solving
3in2sx = 9cos2x

Solving for variable 'i'.

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

Divide each side by '3n2sx'.
i = 3cn-2os

Simplifying
i = 3cn-2os

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