MHT-CET

Trigonometric Equations question bank (Mathematics)

Practice 115 free MHT-CET Mathematics - Trigonometric Equations questions with answers and step-by-step solutions.

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Q1.

The general solution of $\tan \theta+\tan 2 \theta=\tan 3 \theta$ is

(A)

$\theta=(2 n+1) \frac{\pi}{2}, n \in Z$

(B)

$\theta=n \pi, n \in Z$ or $\theta=\frac{p \pi}{3}, p \in Z$

(C)

$\theta=\frac{n \pi}{5}, n \in Z$

(D)

$\theta=(2 n-1) \frac{\pi}{3}, n \in Z$

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Q2.

If $3 \cos x \neq 2 \sin x$, then the general solution of $\sin ^{2} x-\cos 2 x=2-\sin 2 x$ is

(A)

$x=n \pi+\frac{\pi}{2}, \quad n \in Z$

(B)

$x=n\left(\frac{\pi}{2}\right)+\pi, \quad n \in Z$

(C)

$x=n\left(\frac{\pi}{2}\right)+\frac{\pi}{3}, \quad n \in Z$

(D)

$x=(2 n+1) \pi, \quad n \in Z$

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