Neco 2019 Further Mathematics Question 32

Practice objective / multiple choice question 32 from the 2019 Neco Further Mathematics examination.

Neco 2019 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 32 NECO • 2019 • FURTHER_MATHEMATICS • objective

If \(\sin\theta+\sqrt{3}\cos\theta=\sqrt{2}\) with \(0<\theta<\frac{\pi}{2}\), find the exact value of \(\tan\frac{\theta}{2}\).

A. \frac{\sqrt{6}+\sqrt{2}}{4-\sqrt{6}+\sqrt{2}}

B. \frac{\sqrt{6}-\sqrt{2}}{4+\sqrt{6}+\sqrt{2}}

Correct Answer C. \frac{\sqrt{6}+\sqrt{2}}{4+\sqrt{6}-\sqrt{2}}

D. \frac{\sqrt{6}+\sqrt{2}}{4+\sqrt{6}+\sqrt{2}}

Correct Answer

Correct Option:

\frac{\sqrt{6}+\sqrt{2}}{4+\sqrt{6}-\sqrt{2}}

This is Neco 2019 Further Mathematics Question 32. It is one of the objective questions from the 2019 Neco Further Mathematics examination.

Difficulty level: Medium .

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