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Simplifying sin(4x + -22) = cos(6x + -13) Reorder the terms: ins(-22 + 4x) = cos(6x + -13) (-22 * ins + 4x * ins) = cos(6x + -13) (-22ins + 4insx) = cos(6x + -13) Reorder the terms: -22ins + 4insx = cos(-13 + 6x) -22ins + 4insx = (-13 * cos + 6x * cos) -22ins + 4insx = (-13cos + 6cosx) Solving -22ins + 4insx = -13cos + 6cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: 13cos + -6cosx + -22ins + 4insx = -13cos + 6cosx + 13cos + -6cosx Reorder the terms: 13cos + -6cosx + -22ins + 4insx = -13cos + 13cos + 6cosx + -6cosx Combine like terms: -13cos + 13cos = 0 13cos + -6cosx + -22ins + 4insx = 0 + 6cosx + -6cosx 13cos + -6cosx + -22ins + 4insx = 6cosx + -6cosx Combine like terms: 6cosx + -6cosx = 0 13cos + -6cosx + -22ins + 4insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(13co + -6cox + -22in + 4inx) = 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 '(13co + -6cox + -22in + 4inx)' equal to zero and attempt to solve: Simplifying 13co + -6cox + -22in + 4inx = 0 Solving 13co + -6cox + -22in + 4inx = 0 Move all terms containing i to the left, all other terms to the right. Add '-13co' to each side of the equation. 13co + -6cox + -22in + -13co + 4inx = 0 + -13co Reorder the terms: 13co + -13co + -6cox + -22in + 4inx = 0 + -13co Combine like terms: 13co + -13co = 0 0 + -6cox + -22in + 4inx = 0 + -13co -6cox + -22in + 4inx = 0 + -13co Remove the zero: -6cox + -22in + 4inx = -13co Add '6cox' to each side of the equation. -6cox + -22in + 6cox + 4inx = -13co + 6cox Reorder the terms: -6cox + 6cox + -22in + 4inx = -13co + 6cox Combine like terms: -6cox + 6cox = 0 0 + -22in + 4inx = -13co + 6cox -22in + 4inx = -13co + 6cox 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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