Cos(2x)-cos(8x)+cos(6x)=1

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Solution for Cos(2x)-cos(8x)+cos(6x)=1 equation: 


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

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

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

Multiply osC * x
2osxC + -1cos(8x) + cos(6x) = 1

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

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

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

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

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

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

Multiply cos * x
2osxC + -8cosx + 6cosx = 1

Reorder the terms:
-8cosx + 6cosx + 2osxC = 1

Combine like terms: -8cosx + 6cosx = -2cosx
-2cosx + 2osxC = 1

Solving
-2cosx + 2osxC = 1

Solving for variable 'c'.

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

Add '-2osxC' to each side of the equation.
-2cosx + 2osxC + -2osxC = 1 + -2osxC

Combine like terms: 2osxC + -2osxC = 0
-2cosx + 0 = 1 + -2osxC
-2cosx = 1 + -2osxC

Divide each side by '-2osx'.
c = -0.5o-1s-1x-1 + C

Simplifying
c = -0.5o-1s-1x-1 + C

Reorder the terms:
c = C + -0.5o-1s-1x-1

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