Cos^2(x)-sin^2(x)=sin(x)

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


Simplifying
Cos2(x) + -1sin2(x) = sin(x)

Multiply os2C * x
os2xC + -1sin2(x) = sin(x)

Multiply in2s * x
os2xC + -1in2sx = sin(x)

Reorder the terms:
-1in2sx + os2xC = sin(x)

Multiply ins * x
-1in2sx + os2xC = insx

Solving
-1in2sx + 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.
-1in2sx + -1insx + os2xC = insx + -1insx

Reorder the terms:
-1insx + -1in2sx + os2xC = insx + -1insx

Combine like terms: insx + -1insx = 0
-1insx + -1in2sx + os2xC = 0

Add '-1os2xC' to each side of the equation.
-1insx + -1in2sx + os2xC + -1os2xC = 0 + -1os2xC

Combine like terms: os2xC + -1os2xC = 0
-1insx + -1in2sx + 0 = 0 + -1os2xC
-1insx + -1in2sx = 0 + -1os2xC
Remove the zero:
-1insx + -1in2sx = -1os2xC

Combine like terms: -1os2xC + os2xC = 0
-1insx + -1in2sx + os2xC = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-1in + -1in2 + osC) = 0


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

Simplifying
sx = 0

Solving
sx = 0

Move all terms containing i 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 '(-1in + -1in2 + osC)' equal to zero and attempt to solve:

Simplifying
-1in + -1in2 + osC = 0

Solving
-1in + -1in2 + osC = 0

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

Add '-1osC' to each side of the equation.
-1in + -1in2 + osC + -1osC = 0 + -1osC

Combine like terms: osC + -1osC = 0
-1in + -1in2 + 0 = 0 + -1osC
-1in + -1in2 = 0 + -1osC
Remove the zero:
-1in + -1in2 = -1osC

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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