sin(x+50)=cos(x-40)

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Solution for sin(x+50)=cos(x-40) equation: 


Simplifying
sin(x + 50) = cos(x + -40)

Reorder the terms:
ins(50 + x) = cos(x + -40)
(50 * ins + x * ins) = cos(x + -40)
(50ins + insx) = cos(x + -40)

Reorder the terms:
50ins + insx = cos(-40 + x)
50ins + insx = (-40 * cos + x * cos)
50ins + insx = (-40cos + cosx)

Solving
50ins + insx = -40cos + cosx

Solving for variable 'i'.

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

Reorder the terms:
40cos + -1cosx + 50ins + insx = -40cos + cosx + 40cos + -1cosx

Reorder the terms:
40cos + -1cosx + 50ins + insx = -40cos + 40cos + cosx + -1cosx

Combine like terms: -40cos + 40cos = 0
40cos + -1cosx + 50ins + insx = 0 + cosx + -1cosx
40cos + -1cosx + 50ins + insx = cosx + -1cosx

Combine like terms: cosx + -1cosx = 0
40cos + -1cosx + 50ins + insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(40co + -1cox + 50in + inx) = 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 '(40co + -1cox + 50in + inx)' equal to zero and attempt to solve:

Simplifying
40co + -1cox + 50in + inx = 0

Solving
40co + -1cox + 50in + inx = 0

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

Add '-40co' to each side of the equation.
40co + -1cox + 50in + -40co + inx = 0 + -40co

Reorder the terms:
40co + -40co + -1cox + 50in + inx = 0 + -40co

Combine like terms: 40co + -40co = 0
0 + -1cox + 50in + inx = 0 + -40co
-1cox + 50in + inx = 0 + -40co
Remove the zero:
-1cox + 50in + inx = -40co

Add 'cox' to each side of the equation.
-1cox + 50in + cox + inx = -40co + cox

Reorder the terms:
-1cox + cox + 50in + inx = -40co + cox

Combine like terms: -1cox + cox = 0
0 + 50in + inx = -40co + cox
50in + inx = -40co + 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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