sin(x)=sin(y)

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Solution for sin(x)=sin(y) equation:


Simplifying
sin(x) = sin(y)

Multiply ins * x
insx = sin(y)

Multiply ins * y
insx = insy

Solving
insx = insy

Solving for variable 'i'.

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

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

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

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