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Simplifying sin(2x + 4) = cos(5x + -12) Reorder the terms: ins(4 + 2x) = cos(5x + -12) (4 * ins + 2x * ins) = cos(5x + -12) (4ins + 2insx) = cos(5x + -12) Reorder the terms: 4ins + 2insx = cos(-12 + 5x) 4ins + 2insx = (-12 * cos + 5x * cos) 4ins + 2insx = (-12cos + 5cosx) Solving 4ins + 2insx = -12cos + 5cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: 12cos + -5cosx + 4ins + 2insx = -12cos + 5cosx + 12cos + -5cosx Reorder the terms: 12cos + -5cosx + 4ins + 2insx = -12cos + 12cos + 5cosx + -5cosx Combine like terms: -12cos + 12cos = 0 12cos + -5cosx + 4ins + 2insx = 0 + 5cosx + -5cosx 12cos + -5cosx + 4ins + 2insx = 5cosx + -5cosx Combine like terms: 5cosx + -5cosx = 0 12cos + -5cosx + 4ins + 2insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(12co + -5cox + 4in + 2inx) = 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 '(12co + -5cox + 4in + 2inx)' equal to zero and attempt to solve: Simplifying 12co + -5cox + 4in + 2inx = 0 Solving 12co + -5cox + 4in + 2inx = 0 Move all terms containing i to the left, all other terms to the right. Add '-12co' to each side of the equation. 12co + -5cox + 4in + -12co + 2inx = 0 + -12co Reorder the terms: 12co + -12co + -5cox + 4in + 2inx = 0 + -12co Combine like terms: 12co + -12co = 0 0 + -5cox + 4in + 2inx = 0 + -12co -5cox + 4in + 2inx = 0 + -12co Remove the zero: -5cox + 4in + 2inx = -12co Add '5cox' to each side of the equation. -5cox + 4in + 5cox + 2inx = -12co + 5cox Reorder the terms: -5cox + 5cox + 4in + 2inx = -12co + 5cox Combine like terms: -5cox + 5cox = 0 0 + 4in + 2inx = -12co + 5cox 4in + 2inx = -12co + 5cox 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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