sin(2x+8)=cos(x+25)

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Solution for sin(2x+8)=cos(x+25) equation: 


Simplifying
sin(2x + 8) = cos(x + 25)

Reorder the terms:
ins(8 + 2x) = cos(x + 25)
(8 * ins + 2x * ins) = cos(x + 25)
(8ins + 2insx) = cos(x + 25)

Reorder the terms:
8ins + 2insx = cos(25 + x)
8ins + 2insx = (25 * cos + x * cos)
8ins + 2insx = (25cos + cosx)

Solving
8ins + 2insx = 25cos + cosx

Solving for variable 'i'.

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

Reorder the terms:
-25cos + -1cosx + 8ins + 2insx = 25cos + cosx + -25cos + -1cosx

Reorder the terms:
-25cos + -1cosx + 8ins + 2insx = 25cos + -25cos + cosx + -1cosx

Combine like terms: 25cos + -25cos = 0
-25cos + -1cosx + 8ins + 2insx = 0 + cosx + -1cosx
-25cos + -1cosx + 8ins + 2insx = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
-25cos + -1cosx + 8ins + 2insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-25co + -1cox + 8in + 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 '(-25co + -1cox + 8in + 2inx)' equal to zero and attempt to solve:

Simplifying
-25co + -1cox + 8in + 2inx = 0

Solving
-25co + -1cox + 8in + 2inx = 0

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

Add '25co' to each side of the equation.
-25co + -1cox + 8in + 25co + 2inx = 0 + 25co

Reorder the terms:
-25co + 25co + -1cox + 8in + 2inx = 0 + 25co

Combine like terms: -25co + 25co = 0
0 + -1cox + 8in + 2inx = 0 + 25co
-1cox + 8in + 2inx = 0 + 25co
Remove the zero:
-1cox + 8in + 2inx = 25co

Add 'cox' to each side of the equation.
-1cox + 8in + cox + 2inx = 25co + cox

Reorder the terms:
-1cox + cox + 8in + 2inx = 25co + cox

Combine like terms: -1cox + cox = 0
0 + 8in + 2inx = 25co + cox
8in + 2inx = 25co + cox

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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