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Simplifying 2cos(3x) = cot(3x) Remove parenthesis around (3x) 2cos * 3x = cot(3x) Reorder the terms for easier multiplication: 2 * 3cos * x = cot(3x) Multiply 2 * 3 6cos * x = cot(3x) Multiply cos * x 6cosx = cot(3x) Remove parenthesis around (3x) 6cosx = cot * 3x Reorder the terms for easier multiplication: 6cosx = 3cot * x Multiply cot * x 6cosx = 3cotx Solving 6cosx = 3cotx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3cotx' to each side of the equation. 6cosx + -3cotx = 3cotx + -3cotx Combine like terms: 3cotx + -3cotx = 0 6cosx + -3cotx = 0 Factor out the Greatest Common Factor (GCF), '3cox'. 3cox(2s + -1t) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'cox' equal to zero and attempt to solve: Simplifying cox = 0 Solving cox = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cox = 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 '(2s + -1t)' equal to zero and attempt to solve: Simplifying 2s + -1t = 0 Solving 2s + -1t = 0 Move all terms containing c to the left, all other terms to the right. Add '-2s' to each side of the equation. 2s + -2s + -1t = 0 + -2s Combine like terms: 2s + -2s = 0 0 + -1t = 0 + -2s -1t = 0 + -2s Remove the zero: -1t = -2s Add 't' to each side of the equation. -1t + t = -2s + t Combine like terms: -1t + t = 0 0 = -2s + t Simplifying 0 = -2s + t 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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