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Simplifying sin(3x + 50) = -1cos(2x + -10) Reorder the terms: ins(50 + 3x) = -1cos(2x + -10) (50 * ins + 3x * ins) = -1cos(2x + -10) (50ins + 3insx) = -1cos(2x + -10) Reorder the terms: 50ins + 3insx = -1cos(-10 + 2x) 50ins + 3insx = (-10 * -1cos + 2x * -1cos) 50ins + 3insx = (10cos + -2cosx) Solving 50ins + 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 + 50ins + 3insx = 10cos + -2cosx + -10cos + 2cosx Reorder the terms: -10cos + 2cosx + 50ins + 3insx = 10cos + -10cos + -2cosx + 2cosx Combine like terms: 10cos + -10cos = 0 -10cos + 2cosx + 50ins + 3insx = 0 + -2cosx + 2cosx -10cos + 2cosx + 50ins + 3insx = -2cosx + 2cosx Combine like terms: -2cosx + 2cosx = 0 -10cos + 2cosx + 50ins + 3insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-10co + 2cox + 50in + 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 + 50in + 3inx)' equal to zero and attempt to solve: Simplifying -10co + 2cox + 50in + 3inx = 0 Solving -10co + 2cox + 50in + 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 + 50in + 10co + 3inx = 0 + 10co Reorder the terms: -10co + 10co + 2cox + 50in + 3inx = 0 + 10co Combine like terms: -10co + 10co = 0 0 + 2cox + 50in + 3inx = 0 + 10co 2cox + 50in + 3inx = 0 + 10co Remove the zero: 2cox + 50in + 3inx = 10co Add '-2cox' to each side of the equation. 2cox + 50in + -2cox + 3inx = 10co + -2cox Reorder the terms: 2cox + -2cox + 50in + 3inx = 10co + -2cox Combine like terms: 2cox + -2cox = 0 0 + 50in + 3inx = 10co + -2cox 50in + 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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