1=-cos(8x)

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

Simplifying
1 = -1cos(8x)

Remove parenthesis around (8x)
1 = -1cos * 8x

Reorder the terms for easier multiplication:
1 = -1 * 8cos * x

Multiply -1 * 8
1 = -8cos * x

Multiply cos * x
1 = -8cosx

Solving
1 = -8cosx

Solving for variable 'c'.

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

Add '8cosx' to each side of the equation.
1 + 8cosx = -8cosx + 8cosx

Combine like terms: -8cosx + 8cosx = 0
1 + 8cosx = 0

Add '-1' to each side of the equation.
1 + -1 + 8cosx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8cosx = 0 + -1
8cosx = 0 + -1

Combine like terms: 0 + -1 = -1
8cosx = -1

Divide each side by '8osx'.
c = -0.125o-1s-1x-1

Simplifying
c = -0.125o-1s-1x-1