Sin(x+60)=SIN(2X)

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Solution for Sin(x+60)=SIN(2X) equation: 


Simplifying
Sin(x + 60) = SIN(2X)

Reorder the terms:
inS(60 + x) = SIN(2X)
(60 * inS + x * inS) = SIN(2X)
(60inS + inxS) = SIN(2X)

Remove parenthesis around (2X)
60inS + inxS = INS * 2X

Reorder the terms for easier multiplication:
60inS + inxS = 2INS * X

Multiply INS * X
60inS + inxS = 2INSX

Solving
60inS + inxS = 2INSX

Solving for variable 'i'.

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

Reorder the terms:
-2INSX + 60inS + inxS = 2INSX + -2INSX

Combine like terms: 2INSX + -2INSX = 0
-2INSX + 60inS + inxS = 0

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

Simplifying
-2INX + 60in + inx = 0

Solving
-2INX + 60in + inx = 0

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

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

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

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

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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