Gce Model Questions Vol1 2020 Mathematics Question 1

Practice objective / multiple choice question 1 from the 2020 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2020 Mathematics Objective / Multiple Choice Hard Difficulty
Question 1 GCE_MODEL_QUESTIONS_VOL1 • 2020 • MATHEMATICS • objective

The acute angle \( \theta \) satisfies \( \sin\theta + \sqrt{3}\cos\theta = 2 \). Find the exact value of \( \tan\theta \) and then evaluate \( \cos 3\theta \).

Answer Options

Correct Answer A. tan\theta = \frac{\sqrt{3}}{3}, \; \cos 3\theta = 0
B. tan\\theta = 0, \\; \\cos 3\\theta = 0
C. tan\\theta = \\sqrt{3}, \\; \\cos 3\\theta = \\frac{1}{2}
D. tan\\theta = \\frac{\\sqrt{3}}{2}, \\; \\cos 3\\theta = -1
Correct Answer
A
Correct Option:
tan\theta = \frac{\sqrt{3}}{3}, \; \cos 3\theta = 0

About This Question

This is Gce Model Questions Vol1 2020 Mathematics Question 1. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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