Sin(180-x)=-sinx

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


Simplifying
Sin(180 + -1x) = -1sinx
(180 * inS + -1x * inS) = -1sinx
(180inS + -1inxS) = -1sinx

Solving
180inS + -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.
180inS + insx + -1inxS = -1insx + insx

Combine like terms: -1insx + insx = 0
180inS + insx + -1inxS = 0

Factor out the Greatest Common Factor (GCF), 'in'.
in(180S + sx + -1xS) = 0

Subproblem 1

Set the factor 'in' equal to zero and attempt to solve: Simplifying in = 0 Solving in = 0 Move all terms containing i to the left, all other terms to the right. Simplifying in = 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 '(180S + sx + -1xS)' equal to zero and attempt to solve: Simplifying 180S + sx + -1xS = 0 Solving 180S + sx + -1xS = 0 Move all terms containing i to the left, all other terms to the right. Add '-180S' to each side of the equation. 180S + sx + -180S + -1xS = 0 + -180S Reorder the terms: 180S + -180S + sx + -1xS = 0 + -180S Combine like terms: 180S + -180S = 0 0 + sx + -1xS = 0 + -180S sx + -1xS = 0 + -180S Remove the zero: sx + -1xS = -180S Add '-1sx' to each side of the equation. sx + -1sx + -1xS = -180S + -1sx Combine like terms: sx + -1sx = 0 0 + -1xS = -180S + -1sx -1xS = -180S + -1sx Add 'xS' to each side of the equation. -1xS + xS = -180S + -1sx + xS Combine like terms: -1xS + xS = 0 0 = -180S + -1sx + xS Simplifying 0 = -180S + -1sx + xS 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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