sin(x-180)=-sinx

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Solution for sin(x-180)=-sinx equation:


Simplifying
sin(x + -180) = -1sinx

Reorder the terms:
ins(-180 + x) = -1sinx
(-180 * ins + x * ins) = -1sinx
(-180ins + insx) = -1sinx

Solving
-180ins + insx = -1insx

Solving for variable 'i'.

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

Add 'insx' to each side of the equation.
-180ins + insx + insx = -1insx + insx

Combine like terms: insx + insx = 2insx
-180ins + 2insx = -1insx + insx

Combine like terms: -1insx + insx = 0
-180ins + 2insx = 0

Factor out the Greatest Common Factor (GCF), '2ins'.
2ins(-90 + x) = 0

Ignore the factor 2.

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 '(-90 + x)' equal to zero and attempt to solve: Simplifying -90 + x = 0 Solving -90 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + x = 0 + 90 x = 0 + 90 Combine like terms: 0 + 90 = 90 x = 90 Add '-1x' to each side of the equation. x + -1x = 90 + -1x Combine like terms: x + -1x = 0 0 = 90 + -1x Simplifying 0 = 90 + -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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