sin(x-3)=cos(2x+6)

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Solution for sin(x-3)=cos(2x+6) equation: 


Simplifying
sin(x + -3) = cos(2x + 6)

Reorder the terms:
ins(-3 + x) = cos(2x + 6)
(-3 * ins + x * ins) = cos(2x + 6)
(-3ins + insx) = cos(2x + 6)

Reorder the terms:
-3ins + insx = cos(6 + 2x)
-3ins + insx = (6 * cos + 2x * cos)
-3ins + insx = (6cos + 2cosx)

Solving
-3ins + insx = 6cos + 2cosx

Solving for variable 'i'.

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

Reorder the terms:
-6cos + -2cosx + -3ins + insx = 6cos + 2cosx + -6cos + -2cosx

Reorder the terms:
-6cos + -2cosx + -3ins + insx = 6cos + -6cos + 2cosx + -2cosx

Combine like terms: 6cos + -6cos = 0
-6cos + -2cosx + -3ins + insx = 0 + 2cosx + -2cosx
-6cos + -2cosx + -3ins + insx = 2cosx + -2cosx

Combine like terms: 2cosx + -2cosx = 0
-6cos + -2cosx + -3ins + insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-6co + -2cox + -3in + inx) = 0


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

Simplifying
s = 0

Solving
s = 0

Move all terms containing i 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 '(-6co + -2cox + -3in + inx)' equal to zero and attempt to solve:

Simplifying
-6co + -2cox + -3in + inx = 0

Solving
-6co + -2cox + -3in + inx = 0

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

Add '6co' to each side of the equation.
-6co + -2cox + -3in + 6co + inx = 0 + 6co

Reorder the terms:
-6co + 6co + -2cox + -3in + inx = 0 + 6co

Combine like terms: -6co + 6co = 0
0 + -2cox + -3in + inx = 0 + 6co
-2cox + -3in + inx = 0 + 6co
Remove the zero:
-2cox + -3in + inx = 6co

Add '2cox' to each side of the equation.
-2cox + -3in + 2cox + inx = 6co + 2cox

Reorder the terms:
-2cox + 2cox + -3in + inx = 6co + 2cox

Combine like terms: -2cox + 2cox = 0
0 + -3in + inx = 6co + 2cox
-3in + inx = 6co + 2cox

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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