Sin(-x)=-sinx

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Solution for Sin(-x)=-sinx equation:


Simplifying
Sin(-1x) = -1sinx

Remove parenthesis around (-1x)
inS * -1x = -1sinx

Reorder the terms for easier multiplication:
-1inS * x = -1sinx

Multiply inS * x
-1inxS = -1sinx

Solving
-1inxS = -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.
insx + -1inxS = -1insx + insx

Combine like terms: -1insx + insx = 0
insx + -1inxS = 0

Factor out the Greatest Common Factor (GCF), 'inx'.
inx(s + -1S) = 0

Subproblem 1

Set the factor 'inx' equal to zero and attempt to solve: Simplifying inx = 0 Solving inx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying inx = 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 '(s + -1S)' equal to zero and attempt to solve: Simplifying s + -1S = 0 Reorder the terms: -1S + s = 0 Solving -1S + s = 0 Move all terms containing i to the left, all other terms to the right. Add 'S' to each side of the equation. -1S + S + s = 0 + S Combine like terms: -1S + S = 0 0 + s = 0 + S s = 0 + S Remove the zero: s = S Add '-1s' to each side of the equation. s + -1s = S + -1s Combine like terms: s + -1s = 0 0 = S + -1s Simplifying 0 = S + -1s 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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