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

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


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

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

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

Multiply 3 * 3
9cos2 * x + 3sin2(3x) = 3

Multiply cos2 * x
9cos2x + 3sin2(3x) = 3

Remove parenthesis around (3x)
9cos2x + 3in2s * 3x = 3

Reorder the terms for easier multiplication:
9cos2x + 3 * 3in2s * x = 3

Multiply 3 * 3
9cos2x + 9in2s * x = 3

Multiply in2s * x
9cos2x + 9in2sx = 3

Solving
9cos2x + 9in2sx = 3

Solving for variable 'c'.

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

Add '-9in2sx' to each side of the equation.
9cos2x + 9in2sx + -9in2sx = 3 + -9in2sx

Combine like terms: 9in2sx + -9in2sx = 0
9cos2x + 0 = 3 + -9in2sx
9cos2x = 3 + -9in2sx

Divide each side by '9os2x'.
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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