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