cos(x)+cos(3x)-cos(5x)-cos(7x)=0.5

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Solution for cos(x)+cos(3x)-cos(5x)-cos(7x)=0.5 equation:


Simplifying
cos(x) + cos(3x) + -1cos(5x) + -1cos(7x) = 0.5

Multiply cos * x
cosx + cos(3x) + -1cos(5x) + -1cos(7x) = 0.5

Remove parenthesis around (3x)
cosx + cos * 3x + -1cos(5x) + -1cos(7x) = 0.5

Reorder the terms for easier multiplication:
cosx + 3cos * x + -1cos(5x) + -1cos(7x) = 0.5

Multiply cos * x
cosx + 3cosx + -1cos(5x) + -1cos(7x) = 0.5

Remove parenthesis around (5x)
cosx + 3cosx + -1cos * 5x + -1cos(7x) = 0.5

Reorder the terms for easier multiplication:
cosx + 3cosx + -1 * 5cos * x + -1cos(7x) = 0.5

Multiply -1 * 5
cosx + 3cosx + -5cos * x + -1cos(7x) = 0.5

Multiply cos * x
cosx + 3cosx + -5cosx + -1cos(7x) = 0.5

Remove parenthesis around (7x)
cosx + 3cosx + -5cosx + -1cos * 7x = 0.5

Reorder the terms for easier multiplication:
cosx + 3cosx + -5cosx + -1 * 7cos * x = 0.5

Multiply -1 * 7
cosx + 3cosx + -5cosx + -7cos * x = 0.5

Multiply cos * x
cosx + 3cosx + -5cosx + -7cosx = 0.5

Combine like terms: cosx + 3cosx = 4cosx
4cosx + -5cosx + -7cosx = 0.5

Combine like terms: 4cosx + -5cosx = -1cosx
-1cosx + -7cosx = 0.5

Combine like terms: -1cosx + -7cosx = -8cosx
-8cosx = 0.5

Solving
-8cosx = 0.5

Solving for variable 'c'.

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

Divide each side by '-8osx'.
c = -0.0625o-1s-1x-1

Simplifying
c = -0.0625o-1s-1x-1

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