cos(5x)=-cos(4x)

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Solution for cos(5x)=-cos(4x) equation:


Simplifying
cos(5x) = -1cos(4x)

Remove parenthesis around (5x)
cos * 5x = -1cos(4x)

Reorder the terms for easier multiplication:
5cos * x = -1cos(4x)

Multiply cos * x
5cosx = -1cos(4x)

Remove parenthesis around (4x)
5cosx = -1cos * 4x

Reorder the terms for easier multiplication:
5cosx = -1 * 4cos * x

Multiply -1 * 4
5cosx = -4cos * x

Multiply cos * x
5cosx = -4cosx

Solving
5cosx = -4cosx

Solving for variable 'c'.

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

Add '4cosx' to each side of the equation.
5cosx + 4cosx = -4cosx + 4cosx

Combine like terms: 5cosx + 4cosx = 9cosx
9cosx = -4cosx + 4cosx

Combine like terms: -4cosx + 4cosx = 0
9cosx = 0

Divide each side by '9'.
cosx = 0

Simplifying
cosx = 0

The solution to this equation could not be determined.

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