2sinx=sin(x+60)

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


Simplifying
2sinx = 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.

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