cos(2x)-cos(6x)=sin(8x)

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Solution for cos(2x)-cos(6x)=sin(8x) equation:


Simplifying
cos(2x) + -1cos(6x) = sin(8x)

Remove parenthesis around (2x)
cos * 2x + -1cos(6x) = sin(8x)

Reorder the terms for easier multiplication:
2cos * x + -1cos(6x) = sin(8x)

Multiply cos * x
2cosx + -1cos(6x) = sin(8x)

Remove parenthesis around (6x)
2cosx + -1cos * 6x = sin(8x)

Reorder the terms for easier multiplication:
2cosx + -1 * 6cos * x = sin(8x)

Multiply -1 * 6
2cosx + -6cos * x = sin(8x)

Multiply cos * x
2cosx + -6cosx = sin(8x)

Combine like terms: 2cosx + -6cosx = -4cosx
-4cosx = sin(8x)

Remove parenthesis around (8x)
-4cosx = ins * 8x

Reorder the terms for easier multiplication:
-4cosx = 8ins * x

Multiply ins * x
-4cosx = 8insx

Solving
-4cosx = 8insx

Solving for variable 'c'.

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

Divide each side by '-4osx'.
c = -2ino-1

Simplifying
c = -2ino-1

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