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