sin(2x+5)=cos(5x-22)

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Solution for sin(2x+5)=cos(5x-22) equation: 


Simplifying
sin(2x + 5) = cos(5x + -22)

Reorder the terms:
ins(5 + 2x) = cos(5x + -22)
(5 * ins + 2x * ins) = cos(5x + -22)
(5ins + 2insx) = cos(5x + -22)

Reorder the terms:
5ins + 2insx = cos(-22 + 5x)
5ins + 2insx = (-22 * cos + 5x * cos)
5ins + 2insx = (-22cos + 5cosx)

Solving
5ins + 2insx = -22cos + 5cosx

Solving for variable 'i'.

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

Reorder the terms:
22cos + -5cosx + 5ins + 2insx = -22cos + 5cosx + 22cos + -5cosx

Reorder the terms:
22cos + -5cosx + 5ins + 2insx = -22cos + 22cos + 5cosx + -5cosx

Combine like terms: -22cos + 22cos = 0
22cos + -5cosx + 5ins + 2insx = 0 + 5cosx + -5cosx
22cos + -5cosx + 5ins + 2insx = 5cosx + -5cosx

Combine like terms: 5cosx + -5cosx = 0
22cos + -5cosx + 5ins + 2insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(22co + -5cox + 5in + 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 '(22co + -5cox + 5in + 2inx)' equal to zero and attempt to solve:

Simplifying
22co + -5cox + 5in + 2inx = 0

Solving
22co + -5cox + 5in + 2inx = 0

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

Add '-22co' to each side of the equation.
22co + -5cox + 5in + -22co + 2inx = 0 + -22co

Reorder the terms:
22co + -22co + -5cox + 5in + 2inx = 0 + -22co

Combine like terms: 22co + -22co = 0
0 + -5cox + 5in + 2inx = 0 + -22co
-5cox + 5in + 2inx = 0 + -22co
Remove the zero:
-5cox + 5in + 2inx = -22co

Add '5cox' to each side of the equation.
-5cox + 5in + 5cox + 2inx = -22co + 5cox

Reorder the terms:
-5cox + 5cox + 5in + 2inx = -22co + 5cox

Combine like terms: -5cox + 5cox = 0
0 + 5in + 2inx = -22co + 5cox
5in + 2inx = -22co + 5cox

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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