sin(2x+5)=cos(5x-6)

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Solution for sin(2x+5)=cos(5x-6) equation: 


Simplifying
sin(2x + 5) = cos(5x + -6)

Reorder the terms:
ins(5 + 2x) = cos(5x + -6)
(5 * ins + 2x * ins) = cos(5x + -6)
(5ins + 2insx) = cos(5x + -6)

Reorder the terms:
5ins + 2insx = cos(-6 + 5x)
5ins + 2insx = (-6 * cos + 5x * cos)
5ins + 2insx = (-6cos + 5cosx)

Solving
5ins + 2insx = -6cos + 5cosx

Solving for variable 'i'.

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

Reorder the terms:
6cos + -5cosx + 5ins + 2insx = -6cos + 5cosx + 6cos + -5cosx

Reorder the terms:
6cos + -5cosx + 5ins + 2insx = -6cos + 6cos + 5cosx + -5cosx

Combine like terms: -6cos + 6cos = 0
6cos + -5cosx + 5ins + 2insx = 0 + 5cosx + -5cosx
6cos + -5cosx + 5ins + 2insx = 5cosx + -5cosx

Combine like terms: 5cosx + -5cosx = 0
6cos + -5cosx + 5ins + 2insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(6co + -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 '(6co + -5cox + 5in + 2inx)' equal to zero and attempt to solve:

Simplifying
6co + -5cox + 5in + 2inx = 0

Solving
6co + -5cox + 5in + 2inx = 0

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

Add '-6co' to each side of the equation.
6co + -5cox + 5in + -6co + 2inx = 0 + -6co

Reorder the terms:
6co + -6co + -5cox + 5in + 2inx = 0 + -6co

Combine like terms: 6co + -6co = 0
0 + -5cox + 5in + 2inx = 0 + -6co
-5cox + 5in + 2inx = 0 + -6co
Remove the zero:
-5cox + 5in + 2inx = -6co

Add '5cox' to each side of the equation.
-5cox + 5in + 5cox + 2inx = -6co + 5cox

Reorder the terms:
-5cox + 5cox + 5in + 2inx = -6co + 5cox

Combine like terms: -5cox + 5cox = 0
0 + 5in + 2inx = -6co + 5cox
5in + 2inx = -6co + 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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