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Simplifying tan(x + 15) = cot(2x + -15) Reorder the terms: ant(15 + x) = cot(2x + -15) (15 * ant + x * ant) = cot(2x + -15) (15ant + antx) = cot(2x + -15) Reorder the terms: 15ant + antx = cot(-15 + 2x) 15ant + antx = (-15 * cot + 2x * cot) 15ant + antx = (-15cot + 2cotx) Solving 15ant + antx = -15cot + 2cotx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: 15ant + antx + 15cot + -2cotx = -15cot + 15cot + 2cotx + -2cotx Combine like terms: -15cot + 15cot = 0 15ant + antx + 15cot + -2cotx = 0 + 2cotx + -2cotx 15ant + antx + 15cot + -2cotx = 2cotx + -2cotx Combine like terms: 2cotx + -2cotx = 0 15ant + antx + 15cot + -2cotx = 0 Factor out the Greatest Common Factor (GCF), 't'. t(15an + anx + 15co + -2cox) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing a to the left, all other terms to the right. Add '-1t' to each side of the equation. t + -1t = 0 + -1t Remove the zero: 0 = -1t Simplifying 0 = -1t 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 '(15an + anx + 15co + -2cox)' equal to zero and attempt to solve: Simplifying 15an + anx + 15co + -2cox = 0 Solving 15an + anx + 15co + -2cox = 0 Move all terms containing a to the left, all other terms to the right. Add '-15co' to each side of the equation. 15an + anx + 15co + -15co + -2cox = 0 + -15co Combine like terms: 15co + -15co = 0 15an + anx + 0 + -2cox = 0 + -15co 15an + anx + -2cox = 0 + -15co Remove the zero: 15an + anx + -2cox = -15co Add '2cox' to each side of the equation. 15an + anx + -2cox + 2cox = -15co + 2cox Combine like terms: -2cox + 2cox = 0 15an + anx + 0 = -15co + 2cox 15an + anx = -15co + 2cox 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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