Cos(5x)=(sin(5x))(sin(5x))+1

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Solution for Cos(5x)=(sin(5x))(sin(5x))+1 equation: 


Simplifying
Cos(5x) = (sin(5x))(sin(5x)) + 1

Remove parenthesis around (5x)
osC * 5x = (sin(5x))(sin(5x)) + 1

Reorder the terms for easier multiplication:
5osC * x = (sin(5x))(sin(5x)) + 1

Multiply osC * x
5osxC = (sin(5x))(sin(5x)) + 1

Remove parenthesis around (5x)
5osxC = (ins * 5x)(sin(5x)) + 1

Reorder the terms for easier multiplication:
5osxC = (5ins * x)(sin(5x)) + 1

Multiply ins * x
5osxC = (5insx)(sin(5x)) + 1

Remove parenthesis around (5insx)
5osxC = 5insx(sin(5x)) + 1

Remove parenthesis around (5x)
5osxC = 5insx(ins * 5x) + 1

Reorder the terms for easier multiplication:
5osxC = 5insx(5ins * x) + 1

Multiply ins * x
5osxC = 5insx(5insx) + 1

Remove parenthesis around (5insx)
5osxC = 5insx * 5insx + 1

Reorder the terms for easier multiplication:
5osxC = 5 * 5insx * insx + 1

Multiply 5 * 5
5osxC = 25insx * insx + 1

Multiply insx * insx
5osxC = 25i2n2s2x2 + 1

Reorder the terms:
5osxC = 1 + 25i2n2s2x2

Solving
5osxC = 1 + 25i2n2s2x2

Solving for variable 'o'.

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

Divide each side by '5sxC'.
o = 0.2s-1x-1C-1 + 5i2n2sxC-1

Simplifying
o = 0.2s-1x-1C-1 + 5i2n2sxC-1

Reorder the terms:
o = 5i2n2sxC-1 + 0.2s-1x-1C-1

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