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Simplifying sin(6x + -50) = cos(5x + 10) Reorder the terms: ins(-50 + 6x) = cos(5x + 10) (-50 * ins + 6x * ins) = cos(5x + 10) (-50ins + 6insx) = cos(5x + 10) Reorder the terms: -50ins + 6insx = cos(10 + 5x) -50ins + 6insx = (10 * cos + 5x * cos) -50ins + 6insx = (10cos + 5cosx) Solving -50ins + 6insx = 10cos + 5cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -10cos + -5cosx + -50ins + 6insx = 10cos + 5cosx + -10cos + -5cosx Reorder the terms: -10cos + -5cosx + -50ins + 6insx = 10cos + -10cos + 5cosx + -5cosx Combine like terms: 10cos + -10cos = 0 -10cos + -5cosx + -50ins + 6insx = 0 + 5cosx + -5cosx -10cos + -5cosx + -50ins + 6insx = 5cosx + -5cosx Combine like terms: 5cosx + -5cosx = 0 -10cos + -5cosx + -50ins + 6insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-10co + -5cox + -50in + 6inx) = 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 + -5cox + -50in + 6inx)' equal to zero and attempt to solve: Simplifying -10co + -5cox + -50in + 6inx = 0 Solving -10co + -5cox + -50in + 6inx = 0 Move all terms containing i to the left, all other terms to the right. Add '10co' to each side of the equation. -10co + -5cox + -50in + 10co + 6inx = 0 + 10co Reorder the terms: -10co + 10co + -5cox + -50in + 6inx = 0 + 10co Combine like terms: -10co + 10co = 0 0 + -5cox + -50in + 6inx = 0 + 10co -5cox + -50in + 6inx = 0 + 10co Remove the zero: -5cox + -50in + 6inx = 10co Add '5cox' to each side of the equation. -5cox + -50in + 5cox + 6inx = 10co + 5cox Reorder the terms: -5cox + 5cox + -50in + 6inx = 10co + 5cox Combine like terms: -5cox + 5cox = 0 0 + -50in + 6inx = 10co + 5cox -50in + 6inx = 10co + 5cox 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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