cos(5x+22)=sin(3x-4)

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Solution for cos(5x+22)=sin(3x-4) equation: 


Simplifying
cos(5x + 22) = sin(3x + -4)

Reorder the terms:
cos(22 + 5x) = sin(3x + -4)
(22 * cos + 5x * cos) = sin(3x + -4)
(22cos + 5cosx) = sin(3x + -4)

Reorder the terms:
22cos + 5cosx = ins(-4 + 3x)
22cos + 5cosx = (-4 * ins + 3x * ins)
22cos + 5cosx = (-4ins + 3insx)

Solving
22cos + 5cosx = -4ins + 3insx

Solving for variable 'c'.

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

Reorder the terms:
22cos + 5cosx + 4ins + -3insx = -4ins + 4ins + 3insx + -3insx

Combine like terms: -4ins + 4ins = 0
22cos + 5cosx + 4ins + -3insx = 0 + 3insx + -3insx
22cos + 5cosx + 4ins + -3insx = 3insx + -3insx

Combine like terms: 3insx + -3insx = 0
22cos + 5cosx + 4ins + -3insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(22co + 5cox + 4in + -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 '(22co + 5cox + 4in + -3inx)' equal to zero and attempt to solve:

Simplifying
22co + 5cox + 4in + -3inx = 0

Solving
22co + 5cox + 4in + -3inx = 0

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

Add '-4in' to each side of the equation.
22co + 5cox + 4in + -4in + -3inx = 0 + -4in

Combine like terms: 4in + -4in = 0
22co + 5cox + 0 + -3inx = 0 + -4in
22co + 5cox + -3inx = 0 + -4in
Remove the zero:
22co + 5cox + -3inx = -4in

Add '3inx' to each side of the equation.
22co + 5cox + -3inx + 3inx = -4in + 3inx

Combine like terms: -3inx + 3inx = 0
22co + 5cox + 0 = -4in + 3inx
22co + 5cox = -4in + 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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