2sin(30+x)=3cos(x)

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Solution for 2sin(30+x)=3cos(x) equation: 


Simplifying
2sin(30 + x) = 3cos(x)
(30 * 2ins + x * 2ins) = 3cos(x)
(60ins + 2insx) = 3cos(x)

Multiply cos * x
60ins + 2insx = 3cosx

Solving
60ins + 2insx = 3cosx

Solving for variable 'i'.

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

Reorder the terms:
-3cosx + 60ins + 2insx = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
-3cosx + 60ins + 2insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-3cox + 60in + 2inx) = 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 '(-3cox + 60in + 2inx)' equal to zero and attempt to solve:

Simplifying
-3cox + 60in + 2inx = 0

Solving
-3cox + 60in + 2inx = 0

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

Add '3cox' to each side of the equation.
-3cox + 60in + 3cox + 2inx = 0 + 3cox

Reorder the terms:
-3cox + 3cox + 60in + 2inx = 0 + 3cox

Combine like terms: -3cox + 3cox = 0
0 + 60in + 2inx = 0 + 3cox
60in + 2inx = 0 + 3cox
Remove the zero:
60in + 2inx = 3cox

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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