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Simplifying sin(2x + 30) = -1cos(2x + 30) Reorder the terms: ins(30 + 2x) = -1cos(2x + 30) (30 * ins + 2x * ins) = -1cos(2x + 30) (30ins + 2insx) = -1cos(2x + 30) Reorder the terms: 30ins + 2insx = -1cos(30 + 2x) 30ins + 2insx = (30 * -1cos + 2x * -1cos) 30ins + 2insx = (-30cos + -2cosx) Solving 30ins + 2insx = -30cos + -2cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: 30cos + 2cosx + 30ins + 2insx = -30cos + -2cosx + 30cos + 2cosx Reorder the terms: 30cos + 2cosx + 30ins + 2insx = -30cos + 30cos + -2cosx + 2cosx Combine like terms: -30cos + 30cos = 0 30cos + 2cosx + 30ins + 2insx = 0 + -2cosx + 2cosx 30cos + 2cosx + 30ins + 2insx = -2cosx + 2cosx Combine like terms: -2cosx + 2cosx = 0 30cos + 2cosx + 30ins + 2insx = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(15co + cox + 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 '(15co + cox + 15in + inx)' equal to zero and attempt to solve: Simplifying 15co + cox + 15in + inx = 0 Solving 15co + cox + 15in + inx = 0 Move all terms containing i to the left, all other terms to the right. Add '-15co' to each side of the equation. 15co + cox + 15in + -15co + inx = 0 + -15co Reorder the terms: 15co + -15co + cox + 15in + inx = 0 + -15co Combine like terms: 15co + -15co = 0 0 + cox + 15in + inx = 0 + -15co cox + 15in + inx = 0 + -15co Remove the zero: cox + 15in + inx = -15co Add '-1cox' to each side of the equation. cox + 15in + -1cox + inx = -15co + -1cox Reorder the terms: cox + -1cox + 15in + inx = -15co + -1cox Combine like terms: cox + -1cox = 0 0 + 15in + inx = -15co + -1cox 15in + inx = -15co + -1cox 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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