3sin^2(5x)+3cos^2(5x)=3

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Solution for 3sin^2(5x)+3cos^2(5x)=3 equation:


Simplifying
3sin2(5x) + 3cos2(5x) = 3

Remove parenthesis around (5x)
3in2s * 5x + 3cos2(5x) = 3

Reorder the terms for easier multiplication:
3 * 5in2s * x + 3cos2(5x) = 3

Multiply 3 * 5
15in2s * x + 3cos2(5x) = 3

Multiply in2s * x
15in2sx + 3cos2(5x) = 3

Remove parenthesis around (5x)
15in2sx + 3cos2 * 5x = 3

Reorder the terms for easier multiplication:
15in2sx + 3 * 5cos2 * x = 3

Multiply 3 * 5
15in2sx + 15cos2 * x = 3

Multiply cos2 * x
15in2sx + 15cos2x = 3

Reorder the terms:
15cos2x + 15in2sx = 3

Solving
15cos2x + 15in2sx = 3

Solving for variable 'c'.

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

Add '-15in2sx' to each side of the equation.
15cos2x + 15in2sx + -15in2sx = 3 + -15in2sx

Combine like terms: 15in2sx + -15in2sx = 0
15cos2x + 0 = 3 + -15in2sx
15cos2x = 3 + -15in2sx

Divide each side by '15os2x'.
c = 0.2o-1s-2x-1 + -1in2o-1s-1

Simplifying
c = 0.2o-1s-2x-1 + -1in2o-1s-1

Reorder the terms:
c = -1in2o-1s-1 + 0.2o-1s-2x-1

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