cos(x)=cos(-3x)

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Solution for cos(x)=cos(-3x) equation:


Simplifying
cos(x) = cos(-3x)

Multiply cos * x
cosx = cos(-3x)

Remove parenthesis around (-3x)
cosx = cos * -3x

Reorder the terms for easier multiplication:
cosx = -3cos * x

Multiply cos * x
cosx = -3cosx

Solving
cosx = -3cosx

Solving for variable 'c'.

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

Add '3cosx' to each side of the equation.
cosx + 3cosx = -3cosx + 3cosx

Combine like terms: cosx + 3cosx = 4cosx
4cosx = -3cosx + 3cosx

Combine like terms: -3cosx + 3cosx = 0
4cosx = 0

Divide each side by '4'.
cosx = 0

Simplifying
cosx = 0

The solution to this equation could not be determined.

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