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Simplifying sin(2x + -8) = cos(6x + -6) Reorder the terms: ins(-8 + 2x) = cos(6x + -6) (-8 * ins + 2x * ins) = cos(6x + -6) (-8ins + 2insx) = cos(6x + -6) Reorder the terms: -8ins + 2insx = cos(-6 + 6x) -8ins + 2insx = (-6 * cos + 6x * cos) -8ins + 2insx = (-6cos + 6cosx) Solving -8ins + 2insx = -6cos + 6cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: 6cos + -6cosx + -8ins + 2insx = -6cos + 6cosx + 6cos + -6cosx Reorder the terms: 6cos + -6cosx + -8ins + 2insx = -6cos + 6cos + 6cosx + -6cosx Combine like terms: -6cos + 6cos = 0 6cos + -6cosx + -8ins + 2insx = 0 + 6cosx + -6cosx 6cos + -6cosx + -8ins + 2insx = 6cosx + -6cosx Combine like terms: 6cosx + -6cosx = 0 6cos + -6cosx + -8ins + 2insx = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(3co + -3cox + -4in + inx) = 0 Ignore the factor 2.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 '(3co + -3cox + -4in + inx)' equal to zero and attempt to solve: Simplifying 3co + -3cox + -4in + inx = 0 Solving 3co + -3cox + -4in + inx = 0 Move all terms containing i to the left, all other terms to the right. Add '-3co' to each side of the equation. 3co + -3cox + -4in + -3co + inx = 0 + -3co Reorder the terms: 3co + -3co + -3cox + -4in + inx = 0 + -3co Combine like terms: 3co + -3co = 0 0 + -3cox + -4in + inx = 0 + -3co -3cox + -4in + inx = 0 + -3co Remove the zero: -3cox + -4in + inx = -3co Add '3cox' to each side of the equation. -3cox + -4in + 3cox + inx = -3co + 3cox Reorder the terms: -3cox + 3cox + -4in + inx = -3co + 3cox Combine like terms: -3cox + 3cox = 0 0 + -4in + inx = -3co + 3cox -4in + inx = -3co + 3cox 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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