Neco 2025 Further Mathematics Question 50

Practice objective / multiple choice question 50 from the 2025 Neco Further Mathematics examination.

Neco 2025 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 50 NECO • 2025 • FURTHER_MATHEMATICS • objective

Solve for \(x\) in degrees, with \(0^{\circ}\le x<360^{\circ}\), satisfying \(2\sin x-\sqrt{3}\cos x=1\). Then compute \(\tan\left(\frac{x}{2}\right)\) for the smallest positive solution, giving your answer in exact surd form.

A. (7\sqrt3+3-6\sqrt2)\/(2\sqrt3*(2+3\sqrt2))

B. (7\sqrt3+3+6\sqrt2)\/(\sqrt3*(2+3\sqrt2))

C. (7\sqrt3+3-6\sqrt2)\/(\sqrt3*(2-3\sqrt2))

Correct Answer D. (7\sqrt3+3-6\sqrt2)/(\sqrt3*(2+3\sqrt2))

Correct Answer

Correct Option:

(7\sqrt3+3-6\sqrt2)/(\sqrt3*(2+3\sqrt2))

This is Neco 2025 Further Mathematics Question 50. It is one of the objective questions from the 2025 Neco Further Mathematics examination.

Difficulty level: Medium .

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