sin^2(5x-4)+cos^2(5x-4)=

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Solution for sin^2(5x-4)+cos^2(5x-4)= equation: 


Simplifying
sin2(5x + -4) + cos2(5x + -4) = 0

Reorder the terms:
in2s(-4 + 5x) + cos2(5x + -4) = 0
(-4 * in2s + 5x * in2s) + cos2(5x + -4) = 0
(-4in2s + 5in2sx) + cos2(5x + -4) = 0

Reorder the terms:
-4in2s + 5in2sx + cos2(-4 + 5x) = 0
-4in2s + 5in2sx + (-4 * cos2 + 5x * cos2) = 0
-4in2s + 5in2sx + (-4cos2 + 5cos2x) = 0

Reorder the terms:
-4cos2 + 5cos2x + -4in2s + 5in2sx = 0

Solving
-4cos2 + 5cos2x + -4in2s + 5in2sx = 0

Solving for variable 'c'.

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

Add '4in2s' to each side of the equation.
-4cos2 + 5cos2x + -4in2s + 4in2s + 5in2sx = 0 + 4in2s

Combine like terms: -4in2s + 4in2s = 0
-4cos2 + 5cos2x + 0 + 5in2sx = 0 + 4in2s
-4cos2 + 5cos2x + 5in2sx = 0 + 4in2s
Remove the zero:
-4cos2 + 5cos2x + 5in2sx = 4in2s

Add '-5in2sx' to each side of the equation.
-4cos2 + 5cos2x + 5in2sx + -5in2sx = 4in2s + -5in2sx

Combine like terms: 5in2sx + -5in2sx = 0
-4cos2 + 5cos2x + 0 = 4in2s + -5in2sx
-4cos2 + 5cos2x = 4in2s + -5in2sx

Reorder the terms:
-4cos2 + 5cos2x + -4in2s + 5in2sx = 4in2s + -4in2s + -5in2sx + 5in2sx

Combine like terms: 4in2s + -4in2s = 0
-4cos2 + 5cos2x + -4in2s + 5in2sx = 0 + -5in2sx + 5in2sx
-4cos2 + 5cos2x + -4in2s + 5in2sx = -5in2sx + 5in2sx

Combine like terms: -5in2sx + 5in2sx = 0
-4cos2 + 5cos2x + -4in2s + 5in2sx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-4cos + 5cosx + -4in2 + 5in2x) = 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 '(-4cos + 5cosx + -4in2 + 5in2x)' equal to zero and attempt to solve:

Simplifying
-4cos + 5cosx + -4in2 + 5in2x = 0

Solving
-4cos + 5cosx + -4in2 + 5in2x = 0

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

Add '4in2' to each side of the equation.
-4cos + 5cosx + -4in2 + 4in2 + 5in2x = 0 + 4in2

Combine like terms: -4in2 + 4in2 = 0
-4cos + 5cosx + 0 + 5in2x = 0 + 4in2
-4cos + 5cosx + 5in2x = 0 + 4in2
Remove the zero:
-4cos + 5cosx + 5in2x = 4in2

Add '-5in2x' to each side of the equation.
-4cos + 5cosx + 5in2x + -5in2x = 4in2 + -5in2x

Combine like terms: 5in2x + -5in2x = 0
-4cos + 5cosx + 0 = 4in2 + -5in2x
-4cos + 5cosx = 4in2 + -5in2x

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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