cos^3(x)=-cos(x)

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


Simplifying
cos3(x) = -1cos(x)

Multiply cos3 * x
cos3x = -1cos(x)

Multiply cos * x
cos3x = -1cosx

Solving
cos3x = -1cosx

Solving for variable 'c'.

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

Add 'cosx' to each side of the equation.
cosx + cos3x = -1cosx + cosx

Combine like terms: -1cosx + cosx = 0
cosx + cos3x = 0

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(1 + s2) = 0

Subproblem 1

Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + s2)' equal to zero and attempt to solve: Simplifying 1 + s2 = 0 Solving 1 + s2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + s2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s2 = 0 + -1 s2 = 0 + -1 Combine like terms: 0 + -1 = -1 s2 = -1 Add '-1s2' to each side of the equation. s2 + -1s2 = -1 + -1s2 Combine like terms: s2 + -1s2 = 0 0 = -1 + -1s2 Simplifying 0 = -1 + -1s2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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