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Simplifying Sin(x + y) = sin * y (x * inS + y * inS) = sin * y (inxS + inyS) = sin * y Multiply ins * y inxS + inyS = insy Solving inxS + inyS = 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. inxS + -1insy + inyS = insy + -1insy Reorder the terms: -1insy + inxS + inyS = insy + -1insy Combine like terms: insy + -1insy = 0 -1insy + inxS + inyS = 0 Factor out the Greatest Common Factor (GCF), 'in'. in(-1sy + xS + yS) = 0Subproblem 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 '(-1sy + xS + yS)' equal to zero and attempt to solve: Simplifying -1sy + xS + yS = 0 Solving -1sy + xS + yS = 0 Move all terms containing i to the left, all other terms to the right. Add 'sy' to each side of the equation. -1sy + xS + sy + yS = 0 + sy Reorder the terms: -1sy + sy + xS + yS = 0 + sy Combine like terms: -1sy + sy = 0 0 + xS + yS = 0 + sy xS + yS = 0 + sy Remove the zero: xS + yS = sy Add '-1xS' to each side of the equation. xS + -1xS + yS = sy + -1xS Combine like terms: xS + -1xS = 0 0 + yS = sy + -1xS yS = sy + -1xS Add '-1yS' to each side of the equation. yS + -1yS = sy + -1xS + -1yS Combine like terms: yS + -1yS = 0 0 = sy + -1xS + -1yS Simplifying 0 = sy + -1xS + -1yS 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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