sin^2(3x-1)+cos^2(3x-1)=

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Solution for sin^2(3x-1)+cos^2(3x-1)= equation: 


Simplifying
sin2(3x + -1) + cos2(3x + -1) = 0

Reorder the terms:
in2s(-1 + 3x) + cos2(3x + -1) = 0
(-1 * in2s + 3x * in2s) + cos2(3x + -1) = 0
(-1in2s + 3in2sx) + cos2(3x + -1) = 0

Reorder the terms:
-1in2s + 3in2sx + cos2(-1 + 3x) = 0
-1in2s + 3in2sx + (-1 * cos2 + 3x * cos2) = 0
-1in2s + 3in2sx + (-1cos2 + 3cos2x) = 0

Reorder the terms:
-1cos2 + 3cos2x + -1in2s + 3in2sx = 0

Solving
-1cos2 + 3cos2x + -1in2s + 3in2sx = 0

Solving for variable 'c'.

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

Add 'in2s' to each side of the equation.
-1cos2 + 3cos2x + -1in2s + in2s + 3in2sx = 0 + in2s

Combine like terms: -1in2s + in2s = 0
-1cos2 + 3cos2x + 0 + 3in2sx = 0 + in2s
-1cos2 + 3cos2x + 3in2sx = 0 + in2s
Remove the zero:
-1cos2 + 3cos2x + 3in2sx = in2s

Add '-3in2sx' to each side of the equation.
-1cos2 + 3cos2x + 3in2sx + -3in2sx = in2s + -3in2sx

Combine like terms: 3in2sx + -3in2sx = 0
-1cos2 + 3cos2x + 0 = in2s + -3in2sx
-1cos2 + 3cos2x = in2s + -3in2sx

Reorder the terms:
-1cos2 + 3cos2x + -1in2s + 3in2sx = in2s + -1in2s + -3in2sx + 3in2sx

Combine like terms: in2s + -1in2s = 0
-1cos2 + 3cos2x + -1in2s + 3in2sx = 0 + -3in2sx + 3in2sx
-1cos2 + 3cos2x + -1in2s + 3in2sx = -3in2sx + 3in2sx

Combine like terms: -3in2sx + 3in2sx = 0
-1cos2 + 3cos2x + -1in2s + 3in2sx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-1cos + 3cosx + -1in2 + 3in2x) = 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 '(-1cos + 3cosx + -1in2 + 3in2x)' equal to zero and attempt to solve:

Simplifying
-1cos + 3cosx + -1in2 + 3in2x = 0

Solving
-1cos + 3cosx + -1in2 + 3in2x = 0

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

Add 'in2' to each side of the equation.
-1cos + 3cosx + -1in2 + in2 + 3in2x = 0 + in2

Combine like terms: -1in2 + in2 = 0
-1cos + 3cosx + 0 + 3in2x = 0 + in2
-1cos + 3cosx + 3in2x = 0 + in2
Remove the zero:
-1cos + 3cosx + 3in2x = in2

Add '-3in2x' to each side of the equation.
-1cos + 3cosx + 3in2x + -3in2x = in2 + -3in2x

Combine like terms: 3in2x + -3in2x = 0
-1cos + 3cosx + 0 = in2 + -3in2x
-1cos + 3cosx = in2 + -3in2x

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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