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Simplifying sin(3x + -30) = cos(3y + 30) Reorder the terms: ins(-30 + 3x) = cos(3y + 30) (-30 * ins + 3x * ins) = cos(3y + 30) (-30ins + 3insx) = cos(3y + 30) Reorder the terms: -30ins + 3insx = cos(30 + 3y) -30ins + 3insx = (30 * cos + 3y * cos) -30ins + 3insx = (30cos + 3cosy) Solving -30ins + 3insx = 30cos + 3cosy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -30cos + -3cosy + -30ins + 3insx = 30cos + 3cosy + -30cos + -3cosy Reorder the terms: -30cos + -3cosy + -30ins + 3insx = 30cos + -30cos + 3cosy + -3cosy Combine like terms: 30cos + -30cos = 0 -30cos + -3cosy + -30ins + 3insx = 0 + 3cosy + -3cosy -30cos + -3cosy + -30ins + 3insx = 3cosy + -3cosy Combine like terms: 3cosy + -3cosy = 0 -30cos + -3cosy + -30ins + 3insx = 0 Factor out the Greatest Common Factor (GCF), '3s'. 3s(-10co + -1coy + -10in + inx) = 0 Ignore the factor 3.Subproblem 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 '(-10co + -1coy + -10in + inx)' equal to zero and attempt to solve: Simplifying -10co + -1coy + -10in + inx = 0 Solving -10co + -1coy + -10in + inx = 0 Move all terms containing i to the left, all other terms to the right. Add '10co' to each side of the equation. -10co + -1coy + -10in + 10co + inx = 0 + 10co Reorder the terms: -10co + 10co + -1coy + -10in + inx = 0 + 10co Combine like terms: -10co + 10co = 0 0 + -1coy + -10in + inx = 0 + 10co -1coy + -10in + inx = 0 + 10co Remove the zero: -1coy + -10in + inx = 10co Add 'coy' to each side of the equation. -1coy + -10in + coy + inx = 10co + coy Reorder the terms: -1coy + coy + -10in + inx = 10co + coy Combine like terms: -1coy + coy = 0 0 + -10in + inx = 10co + coy -10in + inx = 10co + coy 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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