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JAMB Mathematics 2019 Objective — Question 19

Question 19 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

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What is the value of (tan60°−tan30°)/(tan60°+tan30°)?

  • A. 2/√3
  • B. 4/√3
  • C. 1/2Correct
  • D. 1

Explanation

tan60°=√3, tan30°=1/√3. (√3−1/√3)/(√3+1/√3) = [(3−1)/√3]/[(3+1)/√3] = 2/4 = 1/2.

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