1-cos(2x)+cos(8x)-cos(10x)=

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Solution for 1-cos(2x)+cos(8x)-cos(10x)= equation:


Simplifying
1 + -1cos(2x) + cos(8x) + -1cos(10x) = 0

Remove parenthesis around (2x)
1 + -1cos * 2x + cos(8x) + -1cos(10x) = 0

Reorder the terms for easier multiplication:
1 + -1 * 2cos * x + cos(8x) + -1cos(10x) = 0

Multiply -1 * 2
1 + -2cos * x + cos(8x) + -1cos(10x) = 0

Multiply cos * x
1 + -2cosx + cos(8x) + -1cos(10x) = 0

Remove parenthesis around (8x)
1 + -2cosx + cos * 8x + -1cos(10x) = 0

Reorder the terms for easier multiplication:
1 + -2cosx + 8cos * x + -1cos(10x) = 0

Multiply cos * x
1 + -2cosx + 8cosx + -1cos(10x) = 0

Remove parenthesis around (10x)
1 + -2cosx + 8cosx + -1cos * 10x = 0

Reorder the terms for easier multiplication:
1 + -2cosx + 8cosx + -1 * 10cos * x = 0

Multiply -1 * 10
1 + -2cosx + 8cosx + -10cos * x = 0

Multiply cos * x
1 + -2cosx + 8cosx + -10cosx = 0

Combine like terms: -2cosx + 8cosx = 6cosx
1 + 6cosx + -10cosx = 0

Combine like terms: 6cosx + -10cosx = -4cosx
1 + -4cosx = 0

Solving
1 + -4cosx = 0

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + -1 + -4cosx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4cosx = 0 + -1
-4cosx = 0 + -1

Combine like terms: 0 + -1 = -1
-4cosx = -1

Divide each side by '-4osx'.
c = 0.25o-1s-1x-1

Simplifying
c = 0.25o-1s-1x-1

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