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