Engineer & Medical

Trigonometric Equations question bank (Maths)

Practice 669 free Engineer & Medical Maths - Trigonometric Equations questions with answers and step-by-step solutions.

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Q1.

Let $S = \{\theta \in (-2\pi, 2\pi) : \cos\theta + 1 = \sqrt{3}\sin\theta\}$. Then $\sum_{\theta \in S}\theta$ is equal to:

(A)

$-\dfrac{2\pi}{3}$

(B)

$-\dfrac{4\pi}{3}$

(C)

$\dfrac{2\pi}{3}$

(D)

$\dfrac{4\pi}{3}$

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Q2.

Let $S = \{x \in [-\pi, \pi] : \sin x (\sin x + \cos x) = a, a \in \mathbb{Z}\}$. Then $n(S)$ is equal to :

(A)

$3$

(B)

$6$

(C)

$7$

(D)

$9$

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