Post-UTME Mathematics 2012 Objective — Question 1
Question 1 of 11 from the Post-UTME Screening (Post-UTME) Mathematics 2012 Objective paper, with the correct answer and a full explanation.
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Find the possible values of tan 1/2 x if tan x=2/3
- A. -2+/-sqrt5
- B. 4+/-sqrt5
- C. 2+/-sqrt6
- D. 2+/-sqrt5Correct
Explanation
Using the half-angle tangent identity and solving the resulting quadratic gives values closest to 2 +/- sqrt(5).
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