5sin^2(x)+4sin(2x)+6cos^2(4x)=2

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Solution for 5sin^2(x)+4sin(2x)+6cos^2(4x)=2 equation: 


Simplifying
5sin2(x) + 4sin(2x) + 6cos2(4x) = 2

Multiply in2s * x
5in2sx + 4sin(2x) + 6cos2(4x) = 2

Remove parenthesis around (2x)
5in2sx + 4ins * 2x + 6cos2(4x) = 2

Reorder the terms for easier multiplication:
5in2sx + 4 * 2ins * x + 6cos2(4x) = 2

Multiply 4 * 2
5in2sx + 8ins * x + 6cos2(4x) = 2

Multiply ins * x
5in2sx + 8insx + 6cos2(4x) = 2

Remove parenthesis around (4x)
5in2sx + 8insx + 6cos2 * 4x = 2

Reorder the terms for easier multiplication:
5in2sx + 8insx + 6 * 4cos2 * x = 2

Multiply 6 * 4
5in2sx + 8insx + 24cos2 * x = 2

Multiply cos2 * x
5in2sx + 8insx + 24cos2x = 2

Reorder the terms:
24cos2x + 8insx + 5in2sx = 2

Solving
24cos2x + 8insx + 5in2sx = 2

Solving for variable 'c'.

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

Add '-8insx' to each side of the equation.
24cos2x + 8insx + -8insx + 5in2sx = 2 + -8insx

Combine like terms: 8insx + -8insx = 0
24cos2x + 0 + 5in2sx = 2 + -8insx
24cos2x + 5in2sx = 2 + -8insx

Add '-5in2sx' to each side of the equation.
24cos2x + 5in2sx + -5in2sx = 2 + -8insx + -5in2sx

Combine like terms: 5in2sx + -5in2sx = 0
24cos2x + 0 = 2 + -8insx + -5in2sx
24cos2x = 2 + -8insx + -5in2sx

Divide each side by '24os2x'.
c = 0.08333333333o-1s-2x-1 + -0.3333333333ino-1s-1 + -0.2083333333in2o-1s-1

Simplifying
c = 0.08333333333o-1s-2x-1 + -0.3333333333ino-1s-1 + -0.2083333333in2o-1s-1

Reorder the terms:
c = -0.3333333333ino-1s-1 + -0.2083333333in2o-1s-1 + 0.08333333333o-1s-2x-1

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