sin(3x+13)=cost(4x)

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Solution for sin(3x+13)=cost(4x) equation: 


Simplifying
sin(3x + 13) = cost(4x)

Reorder the terms:
ins(13 + 3x) = cost(4x)
(13 * ins + 3x * ins) = cost(4x)
(13ins + 3insx) = cost(4x)

Remove parenthesis around (4x)
13ins + 3insx = cost * 4x

Reorder the terms for easier multiplication:
13ins + 3insx = 4cost * x

Multiply cost * x
13ins + 3insx = 4costx

Solving
13ins + 3insx = 4costx

Solving for variable 'i'.

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

Reorder the terms:
-4costx + 13ins + 3insx = 4costx + -4costx

Combine like terms: 4costx + -4costx = 0
-4costx + 13ins + 3insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-4cotx + 13in + 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 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 '(-4cotx + 13in + 3inx)' equal to zero and attempt to solve:

Simplifying
-4cotx + 13in + 3inx = 0

Solving
-4cotx + 13in + 3inx = 0

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

Add '4cotx' to each side of the equation.
-4cotx + 13in + 4cotx + 3inx = 0 + 4cotx

Reorder the terms:
-4cotx + 4cotx + 13in + 3inx = 0 + 4cotx

Combine like terms: -4cotx + 4cotx = 0
0 + 13in + 3inx = 0 + 4cotx
13in + 3inx = 0 + 4cotx
Remove the zero:
13in + 3inx = 4cotx

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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