sin(x+2)=cos(3x-7)

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Solution for sin(x+2)=cos(3x-7) equation: 


Simplifying
sin(x + 2) = cos(3x + -7)

Reorder the terms:
ins(2 + x) = cos(3x + -7)
(2 * ins + x * ins) = cos(3x + -7)
(2ins + insx) = cos(3x + -7)

Reorder the terms:
2ins + insx = cos(-7 + 3x)
2ins + insx = (-7 * cos + 3x * cos)
2ins + insx = (-7cos + 3cosx)

Solving
2ins + insx = -7cos + 3cosx

Solving for variable 'i'.

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

Reorder the terms:
7cos + -3cosx + 2ins + insx = -7cos + 3cosx + 7cos + -3cosx

Reorder the terms:
7cos + -3cosx + 2ins + insx = -7cos + 7cos + 3cosx + -3cosx

Combine like terms: -7cos + 7cos = 0
7cos + -3cosx + 2ins + insx = 0 + 3cosx + -3cosx
7cos + -3cosx + 2ins + insx = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
7cos + -3cosx + 2ins + insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(7co + -3cox + 2in + 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 '(7co + -3cox + 2in + inx)' equal to zero and attempt to solve:

Simplifying
7co + -3cox + 2in + inx = 0

Solving
7co + -3cox + 2in + inx = 0

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

Add '-7co' to each side of the equation.
7co + -3cox + 2in + -7co + inx = 0 + -7co

Reorder the terms:
7co + -7co + -3cox + 2in + inx = 0 + -7co

Combine like terms: 7co + -7co = 0
0 + -3cox + 2in + inx = 0 + -7co
-3cox + 2in + inx = 0 + -7co
Remove the zero:
-3cox + 2in + inx = -7co

Add '3cox' to each side of the equation.
-3cox + 2in + 3cox + inx = -7co + 3cox

Reorder the terms:
-3cox + 3cox + 2in + inx = -7co + 3cox

Combine like terms: -3cox + 3cox = 0
0 + 2in + inx = -7co + 3cox
2in + inx = -7co + 3cox

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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