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Simplifying 3sin(x + 10) = 2cos(x + -10) Reorder the terms: 3ins(10 + x) = 2cos(x + -10) (10 * 3ins + x * 3ins) = 2cos(x + -10) (30ins + 3insx) = 2cos(x + -10) Reorder the terms: 30ins + 3insx = 2cos(-10 + x) 30ins + 3insx = (-10 * 2cos + x * 2cos) 30ins + 3insx = (-20cos + 2cosx) Solving 30ins + 3insx = -20cos + 2cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: 20cos + -2cosx + 30ins + 3insx = -20cos + 2cosx + 20cos + -2cosx Reorder the terms: 20cos + -2cosx + 30ins + 3insx = -20cos + 20cos + 2cosx + -2cosx Combine like terms: -20cos + 20cos = 0 20cos + -2cosx + 30ins + 3insx = 0 + 2cosx + -2cosx 20cos + -2cosx + 30ins + 3insx = 2cosx + -2cosx Combine like terms: 2cosx + -2cosx = 0 20cos + -2cosx + 30ins + 3insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(20co + -2cox + 30in + 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 '(20co + -2cox + 30in + 3inx)' equal to zero and attempt to solve: Simplifying 20co + -2cox + 30in + 3inx = 0 Solving 20co + -2cox + 30in + 3inx = 0 Move all terms containing i to the left, all other terms to the right. Add '-20co' to each side of the equation. 20co + -2cox + 30in + -20co + 3inx = 0 + -20co Reorder the terms: 20co + -20co + -2cox + 30in + 3inx = 0 + -20co Combine like terms: 20co + -20co = 0 0 + -2cox + 30in + 3inx = 0 + -20co -2cox + 30in + 3inx = 0 + -20co Remove the zero: -2cox + 30in + 3inx = -20co Add '2cox' to each side of the equation. -2cox + 30in + 2cox + 3inx = -20co + 2cox Reorder the terms: -2cox + 2cox + 30in + 3inx = -20co + 2cox Combine like terms: -2cox + 2cox = 0 0 + 30in + 3inx = -20co + 2cox 30in + 3inx = -20co + 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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