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Simplifying sin(x + 15) = cos(x + 15) Reorder the terms: ins(15 + x) = cos(x + 15) (15 * ins + x * ins) = cos(x + 15) (15ins + insx) = cos(x + 15) Reorder the terms: 15ins + insx = cos(15 + x) 15ins + insx = (15 * cos + x * cos) 15ins + insx = (15cos + cosx) Solving 15ins + insx = 15cos + cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -15cos + -1cosx + 15ins + insx = 15cos + cosx + -15cos + -1cosx Reorder the terms: -15cos + -1cosx + 15ins + insx = 15cos + -15cos + cosx + -1cosx Combine like terms: 15cos + -15cos = 0 -15cos + -1cosx + 15ins + insx = 0 + cosx + -1cosx -15cos + -1cosx + 15ins + insx = cosx + -1cosx Combine like terms: cosx + -1cosx = 0 -15cos + -1cosx + 15ins + insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-15co + -1cox + 15in + 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 '(-15co + -1cox + 15in + inx)' equal to zero and attempt to solve: Simplifying -15co + -1cox + 15in + inx = 0 Solving -15co + -1cox + 15in + inx = 0 Move all terms containing i to the left, all other terms to the right. Add '15co' to each side of the equation. -15co + -1cox + 15in + 15co + inx = 0 + 15co Reorder the terms: -15co + 15co + -1cox + 15in + inx = 0 + 15co Combine like terms: -15co + 15co = 0 0 + -1cox + 15in + inx = 0 + 15co -1cox + 15in + inx = 0 + 15co Remove the zero: -1cox + 15in + inx = 15co Add 'cox' to each side of the equation. -1cox + 15in + cox + inx = 15co + cox Reorder the terms: -1cox + cox + 15in + inx = 15co + cox Combine like terms: -1cox + cox = 0 0 + 15in + inx = 15co + cox 15in + inx = 15co + 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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