sin(8x+18)=cos(5x-4)

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Solution for sin(8x+18)=cos(5x-4) equation: 


Simplifying
sin(8x + 18) = cos(5x + -4)

Reorder the terms:
ins(18 + 8x) = cos(5x + -4)
(18 * ins + 8x * ins) = cos(5x + -4)
(18ins + 8insx) = cos(5x + -4)

Reorder the terms:
18ins + 8insx = cos(-4 + 5x)
18ins + 8insx = (-4 * cos + 5x * cos)
18ins + 8insx = (-4cos + 5cosx)

Solving
18ins + 8insx = -4cos + 5cosx

Solving for variable 'i'.

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

Reorder the terms:
4cos + -5cosx + 18ins + 8insx = -4cos + 5cosx + 4cos + -5cosx

Reorder the terms:
4cos + -5cosx + 18ins + 8insx = -4cos + 4cos + 5cosx + -5cosx

Combine like terms: -4cos + 4cos = 0
4cos + -5cosx + 18ins + 8insx = 0 + 5cosx + -5cosx
4cos + -5cosx + 18ins + 8insx = 5cosx + -5cosx

Combine like terms: 5cosx + -5cosx = 0
4cos + -5cosx + 18ins + 8insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(4co + -5cox + 18in + 8inx) = 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 '(4co + -5cox + 18in + 8inx)' equal to zero and attempt to solve:

Simplifying
4co + -5cox + 18in + 8inx = 0

Solving
4co + -5cox + 18in + 8inx = 0

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

Add '-4co' to each side of the equation.
4co + -5cox + 18in + -4co + 8inx = 0 + -4co

Reorder the terms:
4co + -4co + -5cox + 18in + 8inx = 0 + -4co

Combine like terms: 4co + -4co = 0
0 + -5cox + 18in + 8inx = 0 + -4co
-5cox + 18in + 8inx = 0 + -4co
Remove the zero:
-5cox + 18in + 8inx = -4co

Add '5cox' to each side of the equation.
-5cox + 18in + 5cox + 8inx = -4co + 5cox

Reorder the terms:
-5cox + 5cox + 18in + 8inx = -4co + 5cox

Combine like terms: -5cox + 5cox = 0
0 + 18in + 8inx = -4co + 5cox
18in + 8inx = -4co + 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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