Cos(2x)+cos(4x)+cos(6x)=-0.5

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Solution for Cos(2x)+cos(4x)+cos(6x)=-0.5 equation:


Simplifying
Cos(2x) + cos(4x) + cos(6x) = -0.5

Remove parenthesis around (2x)
osC * 2x + cos(4x) + cos(6x) = -0.5

Reorder the terms for easier multiplication:
2osC * x + cos(4x) + cos(6x) = -0.5

Multiply osC * x
2osxC + cos(4x) + cos(6x) = -0.5

Remove parenthesis around (4x)
2osxC + cos * 4x + cos(6x) = -0.5

Reorder the terms for easier multiplication:
2osxC + 4cos * x + cos(6x) = -0.5

Multiply cos * x
2osxC + 4cosx + cos(6x) = -0.5

Remove parenthesis around (6x)
2osxC + 4cosx + cos * 6x = -0.5

Reorder the terms for easier multiplication:
2osxC + 4cosx + 6cos * x = -0.5

Multiply cos * x
2osxC + 4cosx + 6cosx = -0.5

Reorder the terms:
4cosx + 6cosx + 2osxC = -0.5

Combine like terms: 4cosx + 6cosx = 10cosx
10cosx + 2osxC = -0.5

Solving
10cosx + 2osxC = -0.5

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.
10cosx + 2osxC + -2osxC = -0.5 + -2osxC

Combine like terms: 2osxC + -2osxC = 0
10cosx + 0 = -0.5 + -2osxC
10cosx = -0.5 + -2osxC

Divide each side by '10osx'.
c = -0.05o-1s-1x-1 + -0.2C

Simplifying
c = -0.05o-1s-1x-1 + -0.2C

Reorder the terms:
c = -0.2C + -0.05o-1s-1x-1

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