MHT-CET

Trigonometrical Equations question bank (Mathematics)

Practice 234 free MHT-CET Mathematics - Trigonometrical Equations questions with answers and step-by-step solutions.

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Q1.

The value of $\theta$,satisfying both the equations $\cos \theta = \frac{1}{\sqrt{2}}$ and $\tan \theta = -1$ in the interval $[0, 2\pi]$,is

(A)

$\frac{\pi}{4}$

(B)

$\frac{5\pi}{4}$

(C)

$\frac{7\pi}{4}$

(D)

$\frac{3\pi}{4}$

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Q2.

If $a \cos 2 \theta + b \sin 2 \theta = c$ has $\alpha$ and $\beta$ as its roots,then the value of $\tan \alpha + \tan \beta$ is

(A)

$\frac{2 b}{c+a}$

(B)

$\frac{2 a}{b+c}$

(C)

$\frac{b}{c+a}$

(D)

$\frac{a}{b+c}$

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