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Simplifying cos(3x + -20) = sin(3y + 20) Reorder the terms: cos(-20 + 3x) = sin(3y + 20) (-20 * cos + 3x * cos) = sin(3y + 20) (-20cos + 3cosx) = sin(3y + 20) Reorder the terms: -20cos + 3cosx = ins(20 + 3y) -20cos + 3cosx = (20 * ins + 3y * ins) -20cos + 3cosx = (20ins + 3insy) Solving -20cos + 3cosx = 20ins + 3insy Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Reorder the terms: -20cos + 3cosx + -20ins + -3insy = 20ins + -20ins + 3insy + -3insy Combine like terms: 20ins + -20ins = 0 -20cos + 3cosx + -20ins + -3insy = 0 + 3insy + -3insy -20cos + 3cosx + -20ins + -3insy = 3insy + -3insy Combine like terms: 3insy + -3insy = 0 -20cos + 3cosx + -20ins + -3insy = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-20co + 3cox + -20in + -3iny) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1s' to each side of the equation. s + -1s = 0 + -1s Remove the zero: 0 = -1s Simplifying 0 = -1s 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 '(-20co + 3cox + -20in + -3iny)' equal to zero and attempt to solve: Simplifying -20co + 3cox + -20in + -3iny = 0 Solving -20co + 3cox + -20in + -3iny = 0 Move all terms containing c to the left, all other terms to the right. Add '20in' to each side of the equation. -20co + 3cox + -20in + 20in + -3iny = 0 + 20in Combine like terms: -20in + 20in = 0 -20co + 3cox + 0 + -3iny = 0 + 20in -20co + 3cox + -3iny = 0 + 20in Remove the zero: -20co + 3cox + -3iny = 20in Add '3iny' to each side of the equation. -20co + 3cox + -3iny + 3iny = 20in + 3iny Combine like terms: -3iny + 3iny = 0 -20co + 3cox + 0 = 20in + 3iny -20co + 3cox = 20in + 3iny 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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