sin^2x-cos^2y=sin^2y-cos^2x

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Solution for sin^2x-cos^2y=sin^2y-cos^2x equation: 


Simplifying
sin2x + -1cos2y = sin2y + -1cos2x

Reorder the terms:
-1cos2y + in2sx = sin2y + -1cos2x

Reorder the terms:
-1cos2y + in2sx = -1cos2x + in2sy

Solving
-1cos2y + in2sx = -1cos2x + in2sy

Solving for variable 'c'.

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

Add 'cos2x' to each side of the equation.
-1cos2y + cos2x + in2sx = -1cos2x + cos2x + in2sy

Reorder the terms:
cos2x + -1cos2y + in2sx = -1cos2x + cos2x + in2sy

Combine like terms: -1cos2x + cos2x = 0
cos2x + -1cos2y + in2sx = 0 + in2sy
cos2x + -1cos2y + in2sx = in2sy

Add '-1in2sx' to each side of the equation.
cos2x + -1cos2y + in2sx + -1in2sx = -1in2sx + in2sy

Combine like terms: in2sx + -1in2sx = 0
cos2x + -1cos2y + 0 = -1in2sx + in2sy
cos2x + -1cos2y = -1in2sx + in2sy

Reorder the terms:
cos2x + -1cos2y + in2sx + -1in2sy = -1in2sx + in2sx + in2sy + -1in2sy

Combine like terms: -1in2sx + in2sx = 0
cos2x + -1cos2y + in2sx + -1in2sy = 0 + in2sy + -1in2sy
cos2x + -1cos2y + in2sx + -1in2sy = in2sy + -1in2sy

Combine like terms: in2sy + -1in2sy = 0
cos2x + -1cos2y + in2sx + -1in2sy = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(cosx + -1cosy + in2x + -1in2y) = 0


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

Simplifying
s = 0

Solving
s = 0

Move all terms containing c 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 '(cosx + -1cosy + in2x + -1in2y)' equal to zero and attempt to solve:

Simplifying
cosx + -1cosy + in2x + -1in2y = 0

Solving
cosx + -1cosy + in2x + -1in2y = 0

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

Add '-1in2x' to each side of the equation.
cosx + -1cosy + in2x + -1in2x + -1in2y = 0 + -1in2x

Combine like terms: in2x + -1in2x = 0
cosx + -1cosy + 0 + -1in2y = 0 + -1in2x
cosx + -1cosy + -1in2y = 0 + -1in2x
Remove the zero:
cosx + -1cosy + -1in2y = -1in2x

Add 'in2y' to each side of the equation.
cosx + -1cosy + -1in2y + in2y = -1in2x + in2y

Combine like terms: -1in2y + in2y = 0
cosx + -1cosy + 0 = -1in2x + in2y
cosx + -1cosy = -1in2x + in2y

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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