cos(x)-cos^3(x)=cos(x)sin^2(x)

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Solution for cos(x)-cos^3(x)=cos(x)sin^2(x) equation: 


Simplifying
cos(x) + -1cos3(x) = cos(x) * sin2(x)

Multiply cos * x
cosx + -1cos3(x) = cos(x) * sin2(x)

Multiply cos3 * x
cosx + -1cos3x = cos(x) * sin2(x)

Multiply cos * x
cosx + -1cos3x = cosx * in2s * x

Multiply cosx * in2s
cosx + -1cos3x = cin2os2x * x

Multiply cin2os2x * x
cosx + -1cos3x = cin2os2x2

Solving
cosx + -1cos3x = cin2os2x2

Solving for variable 'c'.

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

Add '-1cin2os2x2' to each side of the equation.
cosx + -1cin2os2x2 + -1cos3x = cin2os2x2 + -1cin2os2x2

Reorder the terms:
-1cin2os2x2 + cosx + -1cos3x = cin2os2x2 + -1cin2os2x2

Combine like terms: cin2os2x2 + -1cin2os2x2 = 0
-1cin2os2x2 + cosx + -1cos3x = 0

Factor out the Greatest Common Factor (GCF), 'cosx'.
cosx(-1in2sx + 1 + -1s2) = 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 '(-1in2sx + 1 + -1s2)' equal to zero and attempt to solve:

Simplifying
-1in2sx + 1 + -1s2 = 0

Reorder the terms:
1 + -1in2sx + -1s2 = 0

Solving
1 + -1in2sx + -1s2 = 0

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

Add '-1' to each side of the equation.
1 + -1in2sx + -1 + -1s2 = 0 + -1

Reorder the terms:
1 + -1 + -1in2sx + -1s2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1in2sx + -1s2 = 0 + -1
-1in2sx + -1s2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1in2sx + -1s2 = -1

Add 'in2sx' to each side of the equation.
-1in2sx + in2sx + -1s2 = -1 + in2sx

Combine like terms: -1in2sx + in2sx = 0
0 + -1s2 = -1 + in2sx
-1s2 = -1 + in2sx

Add 's2' to each side of the equation.
-1s2 + s2 = -1 + in2sx + s2

Combine like terms: -1s2 + s2 = 0
0 = -1 + in2sx + s2

Simplifying
0 = -1 + in2sx + s2

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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