cos(4x)=cos(5x)

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


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

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

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

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

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

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

Multiply cos * x
4cosx = 5cosx

Solving
4cosx = 5cosx

Solving for variable 'c'.

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

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

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

Combine like terms: 5cosx + -5cosx = 0
-1cosx = 0

Divide each side by '-1'.
cosx = 0

Simplifying
cosx = 0

The solution to this equation could not be determined.

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