cos(x+30)=sin(5x+12)

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Solution for cos(x+30)=sin(5x+12) equation: 


Simplifying
cos(x + 30) = sin(5x + 12)

Reorder the terms:
cos(30 + x) = sin(5x + 12)
(30 * cos + x * cos) = sin(5x + 12)
(30cos + cosx) = sin(5x + 12)

Reorder the terms:
30cos + cosx = ins(12 + 5x)
30cos + cosx = (12 * ins + 5x * ins)
30cos + cosx = (12ins + 5insx)

Solving
30cos + cosx = 12ins + 5insx

Solving for variable 'c'.

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

Reorder the terms:
30cos + cosx + -12ins + -5insx = 12ins + -12ins + 5insx + -5insx

Combine like terms: 12ins + -12ins = 0
30cos + cosx + -12ins + -5insx = 0 + 5insx + -5insx
30cos + cosx + -12ins + -5insx = 5insx + -5insx

Combine like terms: 5insx + -5insx = 0
30cos + cosx + -12ins + -5insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(30co + cox + -12in + -5inx) = 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 '(30co + cox + -12in + -5inx)' equal to zero and attempt to solve:

Simplifying
30co + cox + -12in + -5inx = 0

Solving
30co + cox + -12in + -5inx = 0

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

Add '12in' to each side of the equation.
30co + cox + -12in + 12in + -5inx = 0 + 12in

Combine like terms: -12in + 12in = 0
30co + cox + 0 + -5inx = 0 + 12in
30co + cox + -5inx = 0 + 12in
Remove the zero:
30co + cox + -5inx = 12in

Add '5inx' to each side of the equation.
30co + cox + -5inx + 5inx = 12in + 5inx

Combine like terms: -5inx + 5inx = 0
30co + cox + 0 = 12in + 5inx
30co + cox = 12in + 5inx

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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