-sin^3(x)+cos^3(x)=cosx

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


Simplifying
-1sin3(x) + cos3(x) = cosx

Multiply in3s * x
-1in3sx + cos3(x) = cosx

Multiply cos3 * x
-1in3sx + cos3x = cosx

Reorder the terms:
cos3x + -1in3sx = cosx

Solving
cos3x + -1in3sx = cosx

Solving for variable 'c'.

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

Add '-1cosx' to each side of the equation.
cos3x + -1cosx + -1in3sx = cosx + -1cosx

Reorder the terms:
-1cosx + cos3x + -1in3sx = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-1cosx + cos3x + -1in3sx = 0

Add 'in3sx' to each side of the equation.
-1cosx + cos3x + -1in3sx + in3sx = 0 + in3sx

Combine like terms: -1in3sx + in3sx = 0
-1cosx + cos3x + 0 = 0 + in3sx
-1cosx + cos3x = 0 + in3sx
Remove the zero:
-1cosx + cos3x = in3sx

Combine like terms: in3sx + -1in3sx = 0
-1cosx + cos3x + -1in3sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-1co + cos2 + -1in3) = 0


Subproblem 1
Set the factor 'sx' equal to zero and attempt to solve:

Simplifying
sx = 0

Solving
sx = 0

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

Add '-1sx' to each side of the equation.
sx + -1sx = 0 + -1sx
Remove the zero:
0 = -1sx

Simplifying
0 = -1sx

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 '(-1co + cos2 + -1in3)' equal to zero and attempt to solve:

Simplifying
-1co + cos2 + -1in3 = 0

Solving
-1co + cos2 + -1in3 = 0

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

Add 'in3' to each side of the equation.
-1co + cos2 + -1in3 + in3 = 0 + in3

Combine like terms: -1in3 + in3 = 0
-1co + cos2 + 0 = 0 + in3
-1co + cos2 = 0 + in3
Remove the zero:
-1co + cos2 = in3

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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