sin(2x)=sin(x+60)

Solution for sin(2x)=sin(x+60) equation:

Simplifying
sin(2x) = sin(x + 60)

Remove parenthesis around (2x)
ins * 2x = sin(x + 60)

Reorder the terms for easier multiplication:
2ins * x = sin(x + 60)

Multiply ins * x
2insx = sin(x + 60)

Reorder the terms:
2insx = ins(60 + x)
2insx = (60 * ins + x * ins)
2insx = (60ins + insx)

Solving
2insx = 60ins + insx

Solving for variable 'i'.

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

Add '-60ins' to each side of the equation.
-60ins + 2insx = 60ins + -60ins + insx

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

Add '-1insx' to each side of the equation.
-60ins + 2insx + -1insx = insx + -1insx

Combine like terms: 2insx + -1insx = 1insx
-60ins + 1insx = insx + -1insx

Combine like terms: insx + -1insx = 0
-60ins + 1insx = 0

Factor out the Greatest Common Factor (GCF), 'ins'.
ins(-60 + x) = 0

Subproblem 1
Set the factor 'ins' equal to zero and attempt to solve:

Simplifying
ins = 0

Solving
ins = 0

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

Simplifying
ins = 0

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 '(-60 + x)' equal to zero and attempt to solve:

Simplifying
-60 + x = 0

Solving
-60 + x = 0

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

Add '60' to each side of the equation.
-60 + 60 + x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + x = 0 + 60
x = 0 + 60

Combine like terms: 0 + 60 = 60
x = 60

Add '-1x' to each side of the equation.
x + -1x = 60 + -1x

Combine like terms: x + -1x = 0
0 = 60 + -1x

Simplifying
0 = 60 + -1x

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.