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Simplifying 2sin(2x) = cos(x) * sin(x) Remove parenthesis around (2x) 2ins * 2x = cos(x) * sin(x) Reorder the terms for easier multiplication: 2 * 2ins * x = cos(x) * sin(x) Multiply 2 * 2 4ins * x = cos(x) * sin(x) Multiply ins * x 4insx = cos(x) * sin(x) Multiply cos * x 4insx = cosx * ins * x Multiply cosx * ins 4insx = cinos2x * x Multiply cinos2x * x 4insx = cinos2x2 Solving 4insx = cinos2x2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1cinos2x2' to each side of the equation. -1cinos2x2 + 4insx = cinos2x2 + -1cinos2x2 Combine like terms: cinos2x2 + -1cinos2x2 = 0 -1cinos2x2 + 4insx = 0 Factor out the Greatest Common Factor (GCF), 'insx'. insx(-1cosx + 4) = 0Subproblem 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 '(-1cosx + 4)' equal to zero and attempt to solve: Simplifying -1cosx + 4 = 0 Reorder the terms: 4 + -1cosx = 0 Solving 4 + -1cosx = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1cosx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1cosx = 0 + -4 -1cosx = 0 + -4 Combine like terms: 0 + -4 = -4 -1cosx = -4 Add 'cosx' to each side of the equation. -1cosx + cosx = -4 + cosx Combine like terms: -1cosx + cosx = 0 0 = -4 + cosx Simplifying 0 = -4 + 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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