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Simplifying sin(3x + 10) = cos(7x + -20) Reorder the terms: ins(10 + 3x) = cos(7x + -20) (10 * ins + 3x * ins) = cos(7x + -20) (10ins + 3insx) = cos(7x + -20) Reorder the terms: 10ins + 3insx = cos(-20 + 7x) 10ins + 3insx = (-20 * cos + 7x * cos) 10ins + 3insx = (-20cos + 7cosx) Solving 10ins + 3insx = -20cos + 7cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: 20cos + -7cosx + 10ins + 3insx = -20cos + 7cosx + 20cos + -7cosx Reorder the terms: 20cos + -7cosx + 10ins + 3insx = -20cos + 20cos + 7cosx + -7cosx Combine like terms: -20cos + 20cos = 0 20cos + -7cosx + 10ins + 3insx = 0 + 7cosx + -7cosx 20cos + -7cosx + 10ins + 3insx = 7cosx + -7cosx Combine like terms: 7cosx + -7cosx = 0 20cos + -7cosx + 10ins + 3insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(20co + -7cox + 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 '(20co + -7cox + 10in + 3inx)' equal to zero and attempt to solve: Simplifying 20co + -7cox + 10in + 3inx = 0 Solving 20co + -7cox + 10in + 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 + -7cox + 10in + -20co + 3inx = 0 + -20co Reorder the terms: 20co + -20co + -7cox + 10in + 3inx = 0 + -20co Combine like terms: 20co + -20co = 0 0 + -7cox + 10in + 3inx = 0 + -20co -7cox + 10in + 3inx = 0 + -20co Remove the zero: -7cox + 10in + 3inx = -20co Add '7cox' to each side of the equation. -7cox + 10in + 7cox + 3inx = -20co + 7cox Reorder the terms: -7cox + 7cox + 10in + 3inx = -20co + 7cox Combine like terms: -7cox + 7cox = 0 0 + 10in + 3inx = -20co + 7cox 10in + 3inx = -20co + 7cox 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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