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Simplifying sin(2x + -4) = cos(x + 13) Reorder the terms: ins(-4 + 2x) = cos(x + 13) (-4 * ins + 2x * ins) = cos(x + 13) (-4ins + 2insx) = cos(x + 13) Reorder the terms: -4ins + 2insx = cos(13 + x) -4ins + 2insx = (13 * cos + x * cos) -4ins + 2insx = (13cos + cosx) Solving -4ins + 2insx = 13cos + cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -13cos + -1cosx + -4ins + 2insx = 13cos + cosx + -13cos + -1cosx Reorder the terms: -13cos + -1cosx + -4ins + 2insx = 13cos + -13cos + cosx + -1cosx Combine like terms: 13cos + -13cos = 0 -13cos + -1cosx + -4ins + 2insx = 0 + cosx + -1cosx -13cos + -1cosx + -4ins + 2insx = cosx + -1cosx Combine like terms: cosx + -1cosx = 0 -13cos + -1cosx + -4ins + 2insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-13co + -1cox + -4in + 2inx) = 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 '(-13co + -1cox + -4in + 2inx)' equal to zero and attempt to solve: Simplifying -13co + -1cox + -4in + 2inx = 0 Solving -13co + -1cox + -4in + 2inx = 0 Move all terms containing i to the left, all other terms to the right. Add '13co' to each side of the equation. -13co + -1cox + -4in + 13co + 2inx = 0 + 13co Reorder the terms: -13co + 13co + -1cox + -4in + 2inx = 0 + 13co Combine like terms: -13co + 13co = 0 0 + -1cox + -4in + 2inx = 0 + 13co -1cox + -4in + 2inx = 0 + 13co Remove the zero: -1cox + -4in + 2inx = 13co Add 'cox' to each side of the equation. -1cox + -4in + cox + 2inx = 13co + cox Reorder the terms: -1cox + cox + -4in + 2inx = 13co + cox Combine like terms: -1cox + cox = 0 0 + -4in + 2inx = 13co + cox -4in + 2inx = 13co + 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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