# 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`