cos(x+4)=sin(3x+2)

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Solution for cos(x+4)=sin(3x+2) equation: 


Simplifying
cos(x + 4) = sin(3x + 2)

Reorder the terms:
cos(4 + x) = sin(3x + 2)
(4 * cos + x * cos) = sin(3x + 2)
(4cos + cosx) = sin(3x + 2)

Reorder the terms:
4cos + cosx = ins(2 + 3x)
4cos + cosx = (2 * ins + 3x * ins)
4cos + cosx = (2ins + 3insx)

Solving
4cos + cosx = 2ins + 3insx

Solving for variable 'c'.

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

Reorder the terms:
4cos + cosx + -2ins + -3insx = 2ins + -2ins + 3insx + -3insx

Combine like terms: 2ins + -2ins = 0
4cos + cosx + -2ins + -3insx = 0 + 3insx + -3insx
4cos + cosx + -2ins + -3insx = 3insx + -3insx

Combine like terms: 3insx + -3insx = 0
4cos + cosx + -2ins + -3insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(4co + cox + -2in + -3inx) = 0


Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

Move all terms containing c 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 + cox + -2in + -3inx)' equal to zero and attempt to solve:

Simplifying
4co + cox + -2in + -3inx = 0

Solving
4co + cox + -2in + -3inx = 0

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

Add '2in' to each side of the equation.
4co + cox + -2in + 2in + -3inx = 0 + 2in

Combine like terms: -2in + 2in = 0
4co + cox + 0 + -3inx = 0 + 2in
4co + cox + -3inx = 0 + 2in
Remove the zero:
4co + cox + -3inx = 2in

Add '3inx' to each side of the equation.
4co + cox + -3inx + 3inx = 2in + 3inx

Combine like terms: -3inx + 3inx = 0
4co + cox + 0 = 2in + 3inx
4co + cox = 2in + 3inx

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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