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Simplifying 4sin(2x + 10) = 6cos(2x + 10) Reorder the terms: 4ins(10 + 2x) = 6cos(2x + 10) (10 * 4ins + 2x * 4ins) = 6cos(2x + 10) (40ins + 8insx) = 6cos(2x + 10) Reorder the terms: 40ins + 8insx = 6cos(10 + 2x) 40ins + 8insx = (10 * 6cos + 2x * 6cos) 40ins + 8insx = (60cos + 12cosx) Solving 40ins + 8insx = 60cos + 12cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -60cos + -12cosx + 40ins + 8insx = 60cos + 12cosx + -60cos + -12cosx Reorder the terms: -60cos + -12cosx + 40ins + 8insx = 60cos + -60cos + 12cosx + -12cosx Combine like terms: 60cos + -60cos = 0 -60cos + -12cosx + 40ins + 8insx = 0 + 12cosx + -12cosx -60cos + -12cosx + 40ins + 8insx = 12cosx + -12cosx Combine like terms: 12cosx + -12cosx = 0 -60cos + -12cosx + 40ins + 8insx = 0 Factor out the Greatest Common Factor (GCF), '4s'. 4s(-15co + -3cox + 10in + 2inx) = 0 Ignore the factor 4.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 + -3cox + 10in + 2inx)' equal to zero and attempt to solve: Simplifying -15co + -3cox + 10in + 2inx = 0 Solving -15co + -3cox + 10in + 2inx = 0 Move all terms containing i to the left, all other terms to the right. Add '15co' to each side of the equation. -15co + -3cox + 10in + 15co + 2inx = 0 + 15co Reorder the terms: -15co + 15co + -3cox + 10in + 2inx = 0 + 15co Combine like terms: -15co + 15co = 0 0 + -3cox + 10in + 2inx = 0 + 15co -3cox + 10in + 2inx = 0 + 15co Remove the zero: -3cox + 10in + 2inx = 15co Add '3cox' to each side of the equation. -3cox + 10in + 3cox + 2inx = 15co + 3cox Reorder the terms: -3cox + 3cox + 10in + 2inx = 15co + 3cox Combine like terms: -3cox + 3cox = 0 0 + 10in + 2inx = 15co + 3cox 10in + 2inx = 15co + 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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