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 number of solutions of $\sin x + \sin 3 x + \sin 5 x = 0$ in the interval $[\frac{π}{2}, \frac{3 π}{2}]$ is

(A)

2

(B)

3

(C)

4

(D)

5

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Q2.

If $\tan ^{-1}\left[\frac{\sqrt{1+x^2}-\sqrt{1-x^2}}{\sqrt{1+x^2}+\sqrt{1-x^2}}\right]=\alpha$, then the value of $\sin 2 \alpha$ is

(A)

$x^3$

(B)

$\sqrt{\mathrm{x}}$

(C)

$\mathrm{x}$

(D)

$\mathrm{x}^2$

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