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Simplifying sin(2x + 30) = cos(4x) Reorder the terms: ins(30 + 2x) = cos(4x) (30 * ins + 2x * ins) = cos(4x) (30ins + 2insx) = cos(4x) Remove parenthesis around (4x) 30ins + 2insx = cos * 4x Reorder the terms for easier multiplication: 30ins + 2insx = 4cos * x Multiply cos * x 30ins + 2insx = 4cosx Solving 30ins + 2insx = 4cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -4cosx + 30ins + 2insx = 4cosx + -4cosx Combine like terms: 4cosx + -4cosx = 0 -4cosx + 30ins + 2insx = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(-2cox + 15in + 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 '(-2cox + 15in + inx)' equal to zero and attempt to solve: Simplifying -2cox + 15in + inx = 0 Solving -2cox + 15in + inx = 0 Move all terms containing i to the left, all other terms to the right. Add '2cox' to each side of the equation. -2cox + 15in + 2cox + inx = 0 + 2cox Reorder the terms: -2cox + 2cox + 15in + inx = 0 + 2cox Combine like terms: -2cox + 2cox = 0 0 + 15in + inx = 0 + 2cox 15in + inx = 0 + 2cox Remove the zero: 15in + inx = 2cox 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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