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Simplifying sin(3x + 5) = cos(2x + -10) Reorder the terms: ins(5 + 3x) = cos(2x + -10) (5 * ins + 3x * ins) = cos(2x + -10) (5ins + 3insx) = cos(2x + -10) Reorder the terms: 5ins + 3insx = cos(-10 + 2x) 5ins + 3insx = (-10 * cos + 2x * cos) 5ins + 3insx = (-10cos + 2cosx) Solving 5ins + 3insx = -10cos + 2cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: 10cos + -2cosx + 5ins + 3insx = -10cos + 2cosx + 10cos + -2cosx Reorder the terms: 10cos + -2cosx + 5ins + 3insx = -10cos + 10cos + 2cosx + -2cosx Combine like terms: -10cos + 10cos = 0 10cos + -2cosx + 5ins + 3insx = 0 + 2cosx + -2cosx 10cos + -2cosx + 5ins + 3insx = 2cosx + -2cosx Combine like terms: 2cosx + -2cosx = 0 10cos + -2cosx + 5ins + 3insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(10co + -2cox + 5in + 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 '(10co + -2cox + 5in + 3inx)' equal to zero and attempt to solve: Simplifying 10co + -2cox + 5in + 3inx = 0 Solving 10co + -2cox + 5in + 3inx = 0 Move all terms containing i to the left, all other terms to the right. Add '-10co' to each side of the equation. 10co + -2cox + 5in + -10co + 3inx = 0 + -10co Reorder the terms: 10co + -10co + -2cox + 5in + 3inx = 0 + -10co Combine like terms: 10co + -10co = 0 0 + -2cox + 5in + 3inx = 0 + -10co -2cox + 5in + 3inx = 0 + -10co Remove the zero: -2cox + 5in + 3inx = -10co Add '2cox' to each side of the equation. -2cox + 5in + 2cox + 3inx = -10co + 2cox Reorder the terms: -2cox + 2cox + 5in + 3inx = -10co + 2cox Combine like terms: -2cox + 2cox = 0 0 + 5in + 3inx = -10co + 2cox 5in + 3inx = -10co + 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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