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Simplifying sin(3x + 9) = cos(x + 5) Reorder the terms: ins(9 + 3x) = cos(x + 5) (9 * ins + 3x * ins) = cos(x + 5) (9ins + 3insx) = cos(x + 5) Reorder the terms: 9ins + 3insx = cos(5 + x) 9ins + 3insx = (5 * cos + x * cos) 9ins + 3insx = (5cos + cosx) Solving 9ins + 3insx = 5cos + cosx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -5cos + -1cosx + 9ins + 3insx = 5cos + cosx + -5cos + -1cosx Reorder the terms: -5cos + -1cosx + 9ins + 3insx = 5cos + -5cos + cosx + -1cosx Combine like terms: 5cos + -5cos = 0 -5cos + -1cosx + 9ins + 3insx = 0 + cosx + -1cosx -5cos + -1cosx + 9ins + 3insx = cosx + -1cosx Combine like terms: cosx + -1cosx = 0 -5cos + -1cosx + 9ins + 3insx = 0 Factor out the Greatest Common Factor (GCF), 's'. s(-5co + -1cox + 9in + 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 '(-5co + -1cox + 9in + 3inx)' equal to zero and attempt to solve: Simplifying -5co + -1cox + 9in + 3inx = 0 Solving -5co + -1cox + 9in + 3inx = 0 Move all terms containing i to the left, all other terms to the right. Add '5co' to each side of the equation. -5co + -1cox + 9in + 5co + 3inx = 0 + 5co Reorder the terms: -5co + 5co + -1cox + 9in + 3inx = 0 + 5co Combine like terms: -5co + 5co = 0 0 + -1cox + 9in + 3inx = 0 + 5co -1cox + 9in + 3inx = 0 + 5co Remove the zero: -1cox + 9in + 3inx = 5co Add 'cox' to each side of the equation. -1cox + 9in + cox + 3inx = 5co + cox Reorder the terms: -1cox + cox + 9in + 3inx = 5co + cox Combine like terms: -1cox + cox = 0 0 + 9in + 3inx = 5co + cox 9in + 3inx = 5co + 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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