sin(-2x+92)=cos(3x-20)

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Solution for sin(-2x+92)=cos(3x-20) equation: 


Simplifying
sin(-2x + 92) = cos(3x + -20)

Reorder the terms:
ins(92 + -2x) = cos(3x + -20)
(92 * ins + -2x * ins) = cos(3x + -20)
(92ins + -2insx) = cos(3x + -20)

Reorder the terms:
92ins + -2insx = cos(-20 + 3x)
92ins + -2insx = (-20 * cos + 3x * cos)
92ins + -2insx = (-20cos + 3cosx)

Solving
92ins + -2insx = -20cos + 3cosx

Solving for variable 'i'.

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

Reorder the terms:
20cos + -3cosx + 92ins + -2insx = -20cos + 3cosx + 20cos + -3cosx

Reorder the terms:
20cos + -3cosx + 92ins + -2insx = -20cos + 20cos + 3cosx + -3cosx

Combine like terms: -20cos + 20cos = 0
20cos + -3cosx + 92ins + -2insx = 0 + 3cosx + -3cosx
20cos + -3cosx + 92ins + -2insx = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
20cos + -3cosx + 92ins + -2insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(20co + -3cox + 92in + -2inx) = 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 '(20co + -3cox + 92in + -2inx)' equal to zero and attempt to solve:

Simplifying
20co + -3cox + 92in + -2inx = 0

Solving
20co + -3cox + 92in + -2inx = 0

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

Add '-20co' to each side of the equation.
20co + -3cox + 92in + -20co + -2inx = 0 + -20co

Reorder the terms:
20co + -20co + -3cox + 92in + -2inx = 0 + -20co

Combine like terms: 20co + -20co = 0
0 + -3cox + 92in + -2inx = 0 + -20co
-3cox + 92in + -2inx = 0 + -20co
Remove the zero:
-3cox + 92in + -2inx = -20co

Add '3cox' to each side of the equation.
-3cox + 92in + 3cox + -2inx = -20co + 3cox

Reorder the terms:
-3cox + 3cox + 92in + -2inx = -20co + 3cox

Combine like terms: -3cox + 3cox = 0
0 + 92in + -2inx = -20co + 3cox
92in + -2inx = -20co + 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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