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Simplifying sin(9x) + -1sin(x) = 4sin(x) * cos(2x) * cos(x) Remove parenthesis around (9x) ins * 9x + -1sin(x) = 4sin(x) * cos(2x) * cos(x) Reorder the terms for easier multiplication: 9ins * x + -1sin(x) = 4sin(x) * cos(2x) * cos(x) Multiply ins * x 9insx + -1sin(x) = 4sin(x) * cos(2x) * cos(x) Multiply ins * x 9insx + -1insx = 4sin(x) * cos(2x) * cos(x) Combine like terms: 9insx + -1insx = 8insx 8insx = 4sin(x) * cos(2x) * cos(x) Remove parenthesis around (2x) 8insx = 4ins * x * cos * 2x * cos(x) Reorder the terms for easier multiplication: 8insx = 4 * 2ins * x * cos * x * cos * x Multiply 4 * 2 8insx = 8ins * x * cos * x * cos * x Multiply ins * x 8insx = 8insx * cos * x * cos * x Multiply insx * cos 8insx = 8cinos2x * x * cos * x Multiply cinos2x * x 8insx = 8cinos2x2 * cos * x Multiply cinos2x2 * cos 8insx = 8c2ino2s3x2 * x Multiply c2ino2s3x2 * x 8insx = 8c2ino2s3x3 Solving 8insx = 8c2ino2s3x3 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8c2ino2s3x3' to each side of the equation. -8c2ino2s3x3 + 8insx = 8c2ino2s3x3 + -8c2ino2s3x3 Combine like terms: 8c2ino2s3x3 + -8c2ino2s3x3 = 0 -8c2ino2s3x3 + 8insx = 0 Factor out the Greatest Common Factor (GCF), '8insx'. 8insx(-1c2o2s2x2 + 1) = 0 Factor a difference between two squares. 8insx((cosx + 1)(-1cosx + 1)) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'insx' equal to zero and attempt to solve: Simplifying insx = 0 Solving insx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying insx = 0 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 '(cosx + 1)' equal to zero and attempt to solve: Simplifying cosx + 1 = 0 Reorder the terms: 1 + cosx = 0 Solving 1 + cosx = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + cosx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + cosx = 0 + -1 cosx = 0 + -1 Combine like terms: 0 + -1 = -1 cosx = -1 Add '-1cosx' to each side of the equation. cosx + -1cosx = -1 + -1cosx Combine like terms: cosx + -1cosx = 0 0 = -1 + -1cosx Simplifying 0 = -1 + -1cosx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1cosx + 1)' equal to zero and attempt to solve: Simplifying -1cosx + 1 = 0 Reorder the terms: 1 + -1cosx = 0 Solving 1 + -1cosx = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1cosx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1cosx = 0 + -1 -1cosx = 0 + -1 Combine like terms: 0 + -1 = -1 -1cosx = -1 Add 'cosx' to each side of the equation. -1cosx + cosx = -1 + cosx Combine like terms: -1cosx + cosx = 0 0 = -1 + cosx Simplifying 0 = -1 + cosx 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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