Neco 2021 Further Mathematics Question 6

Practice objective / multiple choice question 6 from the 2021 Neco Further Mathematics examination.

Neco 2021 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 6 NECO • 2021 • FURTHER_MATHEMATICS • objective

Given that \(\sin \theta + \sqrt{3}\cos \theta = 2\), find \(\tan \theta\) and then evaluate \(\sin 2\theta\).

A. tan\\theta = \\frac{\\sqrt{3}}{3}, \\; \\sin 2\\theta = \\frac{1}{2}

B. tan\\theta = 1, \\; \\sin 2\\theta = \\frac{\\sqrt{3}}{2}

C. tan\\theta = \\frac{\\sqrt{3}}{2}, \\; \\sin 2\\theta = \\frac{\\sqrt{3}}{2}

Correct Answer D. tan\theta = \frac{\sqrt{3}}{3}, \; \sin 2\theta = \frac{\sqrt{3}}{2}

Correct Answer

Correct Option:

tan\theta = \frac{\sqrt{3}}{3}, \; \sin 2\theta = \frac{\sqrt{3}}{2}

This is Neco 2021 Further Mathematics Question 6. It is one of the objective questions from the 2021 Neco Further Mathematics examination.

Difficulty level: Medium .

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