Sin^2(3x)-3cos^2(3x)=0

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Solution for Sin^2(3x)-3cos^2(3x)=0 equation: 


Simplifying
Sin2(3x) + -3cos2(3x) = 0

Remove parenthesis around (3x)
in2S * 3x + -3cos2(3x) = 0

Reorder the terms for easier multiplication:
3in2S * x + -3cos2(3x) = 0

Multiply in2S * x
3in2xS + -3cos2(3x) = 0

Remove parenthesis around (3x)
3in2xS + -3cos2 * 3x = 0

Reorder the terms for easier multiplication:
3in2xS + -3 * 3cos2 * x = 0

Multiply -3 * 3
3in2xS + -9cos2 * x = 0

Multiply cos2 * x
3in2xS + -9cos2x = 0

Reorder the terms:
-9cos2x + 3in2xS = 0

Solving
-9cos2x + 3in2xS = 0

Solving for variable 'c'.

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

Add '-3in2xS' to each side of the equation.
-9cos2x + 3in2xS + -3in2xS = 0 + -3in2xS

Combine like terms: 3in2xS + -3in2xS = 0
-9cos2x + 0 = 0 + -3in2xS
-9cos2x = 0 + -3in2xS
Remove the zero:
-9cos2x = -3in2xS

Divide each side by '-9os2x'.
c = 0.3333333333in2o-1s-2S

Simplifying
c = 0.3333333333in2o-1s-2S

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