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Simplifying sin(2y + 10) = cos(3y + -20) Reorder the terms: ins(10 + 2y) = cos(3y + -20) (10 * ins + 2y * ins) = cos(3y + -20) (10ins + 2insy) = cos(3y + -20) Reorder the terms: 10ins + 2insy = cos(-20 + 3y) 10ins + 2insy = (-20 * cos + 3y * cos) 10ins + 2insy = (-20cos + 3cosy) Solving 10ins + 2insy = -20cos + 3cosy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: 20cos + -3cosy + 10ins + 2insy = -20cos + 3cosy + 20cos + -3cosy Reorder the terms: 20cos + -3cosy + 10ins + 2insy = -20cos + 20cos + 3cosy + -3cosy Combine like terms: -20cos + 20cos = 0 20cos + -3cosy + 10ins + 2insy = 0 + 3cosy + -3cosy 20cos + -3cosy + 10ins + 2insy = 3cosy + -3cosy Combine like terms: 3cosy + -3cosy = 0 20cos + -3cosy + 10ins + 2insy = 0 Factor out the Greatest Common Factor (GCF), 's'. s(20co + -3coy + 10in + 2iny) = 0Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing i 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 + -3coy + 10in + 2iny)' equal to zero and attempt to solve: Simplifying 20co + -3coy + 10in + 2iny = 0 Solving 20co + -3coy + 10in + 2iny = 0 Move all terms containing i to the left, all other terms to the right. Add '-20co' to each side of the equation. 20co + -3coy + 10in + -20co + 2iny = 0 + -20co Reorder the terms: 20co + -20co + -3coy + 10in + 2iny = 0 + -20co Combine like terms: 20co + -20co = 0 0 + -3coy + 10in + 2iny = 0 + -20co -3coy + 10in + 2iny = 0 + -20co Remove the zero: -3coy + 10in + 2iny = -20co Add '3coy' to each side of the equation. -3coy + 10in + 3coy + 2iny = -20co + 3coy Reorder the terms: -3coy + 3coy + 10in + 2iny = -20co + 3coy Combine like terms: -3coy + 3coy = 0 0 + 10in + 2iny = -20co + 3coy 10in + 2iny = -20co + 3coy 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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