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

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


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

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

Reorder the terms:
(5ikn2s + -4in2s) + cos2(5k + -4) = 0
(5ikn2s + -4in2s) + cos2(5k + -4) = 0

Reorder the terms:
5ikn2s + -4in2s + cos2(-4 + 5k) = 0
5ikn2s + -4in2s + (-4 * cos2 + 5k * cos2) = 0

Reorder the terms:
5ikn2s + -4in2s + (5ckos2 + -4cos2) = 0
5ikn2s + -4in2s + (5ckos2 + -4cos2) = 0

Reorder the terms:
5ckos2 + -4cos2 + 5ikn2s + -4in2s = 0

Solving
5ckos2 + -4cos2 + 5ikn2s + -4in2s = 0

Solving for variable 'c'.

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

Add '-5ikn2s' to each side of the equation.
5ckos2 + -4cos2 + 5ikn2s + -5ikn2s + -4in2s = 0 + -5ikn2s

Combine like terms: 5ikn2s + -5ikn2s = 0
5ckos2 + -4cos2 + 0 + -4in2s = 0 + -5ikn2s
5ckos2 + -4cos2 + -4in2s = 0 + -5ikn2s
Remove the zero:
5ckos2 + -4cos2 + -4in2s = -5ikn2s

Add '4in2s' to each side of the equation.
5ckos2 + -4cos2 + -4in2s + 4in2s = -5ikn2s + 4in2s

Combine like terms: -4in2s + 4in2s = 0
5ckos2 + -4cos2 + 0 = -5ikn2s + 4in2s
5ckos2 + -4cos2 = -5ikn2s + 4in2s

Reorder the terms:
5ckos2 + -4cos2 + 5ikn2s + -4in2s = -5ikn2s + 5ikn2s + 4in2s + -4in2s

Combine like terms: -5ikn2s + 5ikn2s = 0
5ckos2 + -4cos2 + 5ikn2s + -4in2s = 0 + 4in2s + -4in2s
5ckos2 + -4cos2 + 5ikn2s + -4in2s = 4in2s + -4in2s

Combine like terms: 4in2s + -4in2s = 0
5ckos2 + -4cos2 + 5ikn2s + -4in2s = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(5ckos + -4cos + 5ikn2 + -4in2) = 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 '(5ckos + -4cos + 5ikn2 + -4in2)' equal to zero and attempt to solve: Simplifying 5ckos + -4cos + 5ikn2 + -4in2 = 0 Solving 5ckos + -4cos + 5ikn2 + -4in2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-5ikn2' to each side of the equation. 5ckos + -4cos + 5ikn2 + -5ikn2 + -4in2 = 0 + -5ikn2 Combine like terms: 5ikn2 + -5ikn2 = 0 5ckos + -4cos + 0 + -4in2 = 0 + -5ikn2 5ckos + -4cos + -4in2 = 0 + -5ikn2 Remove the zero: 5ckos + -4cos + -4in2 = -5ikn2 Add '4in2' to each side of the equation. 5ckos + -4cos + -4in2 + 4in2 = -5ikn2 + 4in2 Combine like terms: -4in2 + 4in2 = 0 5ckos + -4cos + 0 = -5ikn2 + 4in2 5ckos + -4cos = -5ikn2 + 4in2 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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