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

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


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

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

Remove parenthesis around (3x)
2cos + cosx = ins * 3x

Reorder the terms for easier multiplication:
2cos + cosx = 3ins * x

Multiply ins * x
2cos + cosx = 3insx

Solving
2cos + cosx = 3insx

Solving for variable 'c'.

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

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

Factor out the Greatest Common Factor (GCF), 's'.
s(2co + cox + -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 '(2co + cox + -3inx)' equal to zero and attempt to solve:

Simplifying
2co + cox + -3inx = 0

Solving
2co + cox + -3inx = 0

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

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

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