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Simplifying sin(2x + 40) = cos(8x + -60) Reorder the terms: ins(40 + 2x) = cos(8x + -60) (40 * ins + 2x * ins) = cos(8x + -60) (40ins + 2insx) = cos(8x + -60) Reorder the terms: 40ins + 2insx = cos(-60 + 8x) 40ins + 2insx = (-60 * cos + 8x * cos) 40ins + 2insx = (-60cos + 8cosx) Solving 40ins + 2insx = -60cos + 8cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: 60cos + -8cosx + 40ins + 2insx = -60cos + 8cosx + 60cos + -8cosx Reorder the terms: 60cos + -8cosx + 40ins + 2insx = -60cos + 60cos + 8cosx + -8cosx Combine like terms: -60cos + 60cos = 0 60cos + -8cosx + 40ins + 2insx = 0 + 8cosx + -8cosx 60cos + -8cosx + 40ins + 2insx = 8cosx + -8cosx Combine like terms: 8cosx + -8cosx = 0 60cos + -8cosx + 40ins + 2insx = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(30co + -4cox + 20in + 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 '(30co + -4cox + 20in + inx)' equal to zero and attempt to solve: Simplifying 30co + -4cox + 20in + inx = 0 Solving 30co + -4cox + 20in + inx = 0 Move all terms containing i to the left, all other terms to the right. Add '-30co' to each side of the equation. 30co + -4cox + 20in + -30co + inx = 0 + -30co Reorder the terms: 30co + -30co + -4cox + 20in + inx = 0 + -30co Combine like terms: 30co + -30co = 0 0 + -4cox + 20in + inx = 0 + -30co -4cox + 20in + inx = 0 + -30co Remove the zero: -4cox + 20in + inx = -30co Add '4cox' to each side of the equation. -4cox + 20in + 4cox + inx = -30co + 4cox Reorder the terms: -4cox + 4cox + 20in + inx = -30co + 4cox Combine like terms: -4cox + 4cox = 0 0 + 20in + inx = -30co + 4cox 20in + inx = -30co + 4cox 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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