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Simplifying sin(3x + -10) = cos(x + 15) Reorder the terms: ins(-10 + 3x) = cos(x + 15) (-10 * ins + 3x * ins) = cos(x + 15) (-10ins + 3insx) = cos(x + 15) Reorder the terms: -10ins + 3insx = cos(15 + x) -10ins + 3insx = (15 * cos + x * cos) -10ins + 3insx = (15cos + cosx) Solving -10ins + 3insx = 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 + -10ins + 3insx = 15cos + cosx + -15cos + -1cosx Reorder the terms: -15cos + -1cosx + -10ins + 3insx = 15cos + -15cos + cosx + -1cosx Combine like terms: 15cos + -15cos = 0 -15cos + -1cosx + -10ins + 3insx = 0 + cosx + -1cosx -15cos + -1cosx + -10ins + 3insx = cosx + -1cosx Combine like terms: cosx + -1cosx = 0 -15cos + -1cosx + -10ins + 3insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-15co + -1cox + -10in + 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 '(-15co + -1cox + -10in + 3inx)' equal to zero and attempt to solve: Simplifying -15co + -1cox + -10in + 3inx = 0 Solving -15co + -1cox + -10in + 3inx = 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 + -10in + 15co + 3inx = 0 + 15co Reorder the terms: -15co + 15co + -1cox + -10in + 3inx = 0 + 15co Combine like terms: -15co + 15co = 0 0 + -1cox + -10in + 3inx = 0 + 15co -1cox + -10in + 3inx = 0 + 15co Remove the zero: -1cox + -10in + 3inx = 15co Add 'cox' to each side of the equation. -1cox + -10in + cox + 3inx = 15co + cox Reorder the terms: -1cox + cox + -10in + 3inx = 15co + cox Combine like terms: -1cox + cox = 0 0 + -10in + 3inx = 15co + cox -10in + 3inx = 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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