Cos^2x-sin^2=sinx

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Solution for Cos^2x-sin^2=sinx equation: 


Simplifying
Cos2x + -1sin2 = sinx

Reorder the terms:
-1in2s + os2xC = sinx

Solving
-1in2s + os2xC = insx

Solving for variable 'i'.

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

Add '-1insx' to each side of the equation.
-1in2s + -1insx + os2xC = insx + -1insx

Reorder the terms:
-1insx + -1in2s + os2xC = insx + -1insx

Combine like terms: insx + -1insx = 0
-1insx + -1in2s + os2xC = 0

Add '-1os2xC' to each side of the equation.
-1insx + -1in2s + os2xC + -1os2xC = 0 + -1os2xC

Combine like terms: os2xC + -1os2xC = 0
-1insx + -1in2s + 0 = 0 + -1os2xC
-1insx + -1in2s = 0 + -1os2xC
Remove the zero:
-1insx + -1in2s = -1os2xC

Combine like terms: -1os2xC + os2xC = 0
-1insx + -1in2s + os2xC = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-1inx + -1in2 + osxC) = 0


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

Simplifying
s = 0

Solving
s = 0

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

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

Simplifying
0 = -1s

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 '(-1inx + -1in2 + osxC)' equal to zero and attempt to solve:

Simplifying
-1inx + -1in2 + osxC = 0

Solving
-1inx + -1in2 + osxC = 0

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

Add '-1osxC' to each side of the equation.
-1inx + -1in2 + osxC + -1osxC = 0 + -1osxC

Combine like terms: osxC + -1osxC = 0
-1inx + -1in2 + 0 = 0 + -1osxC
-1inx + -1in2 = 0 + -1osxC
Remove the zero:
-1inx + -1in2 = -1osxC

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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