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Simplifying sin(3x + 10) = cos(x + 20) Reorder the terms: ins(10 + 3x) = cos(x + 20) (10 * ins + 3x * ins) = cos(x + 20) (10ins + 3insx) = cos(x + 20) Reorder the terms: 10ins + 3insx = cos(20 + x) 10ins + 3insx = (20 * cos + x * cos) 10ins + 3insx = (20cos + cosx) Solving 10ins + 3insx = 20cos + cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -20cos + -1cosx + 10ins + 3insx = 20cos + cosx + -20cos + -1cosx Reorder the terms: -20cos + -1cosx + 10ins + 3insx = 20cos + -20cos + cosx + -1cosx Combine like terms: 20cos + -20cos = 0 -20cos + -1cosx + 10ins + 3insx = 0 + cosx + -1cosx -20cos + -1cosx + 10ins + 3insx = cosx + -1cosx Combine like terms: cosx + -1cosx = 0 -20cos + -1cosx + 10ins + 3insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-20co + -1cox + 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 + -1cox + 10in + 3inx)' equal to zero and attempt to solve: Simplifying -20co + -1cox + 10in + 3inx = 0 Solving -20co + -1cox + 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 + -1cox + 10in + 20co + 3inx = 0 + 20co Reorder the terms: -20co + 20co + -1cox + 10in + 3inx = 0 + 20co Combine like terms: -20co + 20co = 0 0 + -1cox + 10in + 3inx = 0 + 20co -1cox + 10in + 3inx = 0 + 20co Remove the zero: -1cox + 10in + 3inx = 20co Add 'cox' to each side of the equation. -1cox + 10in + cox + 3inx = 20co + cox Reorder the terms: -1cox + cox + 10in + 3inx = 20co + cox Combine like terms: -1cox + cox = 0 0 + 10in + 3inx = 20co + cox 10in + 3inx = 20co + cox 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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