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1
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The general solutions of the equation $\tan ^2 \theta+\sec 2 \theta=1$ are

A

$\mathrm{n} \pi, \mathrm{n} \pi \pm \frac{\pi}{3}, \mathrm{n} \in \mathbb{Z}$

B

$\mathrm{n} \pi, \mathrm{n} \pi \pm \frac{\pi}{4}, \mathrm{n} \in \mathbb{Z}$

C

$\quad \frac{\mathrm{n} \pi}{4}, \frac{\mathrm{n} \pi}{4} \pm \frac{\pi}{3}, \mathrm{n} \in \mathbb{Z}$

D

$\quad \mathrm{n} \pi, \mathrm{n} \pi \pm \frac{\pi}{6}, \mathrm{n} \in \mathbb{Z}$

2
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $\tan (\pi \cos \theta)=\cot (\pi \sin \theta)$, then $\sin \left(\frac{\pi}{4}+\theta\right)=$

A

$\frac{1}{2}$

B

$\frac{1}{\sqrt{2}}$

C

$\frac{1}{4}$

D

$\frac{1}{2 \sqrt{2}}$

3
MHT CET 2025 25th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The common principal solution of the equations $\sin \theta=-\frac{1}{2}$ and $\tan \theta=\frac{1}{\sqrt{3}}$ is

A
$\frac{\pi}{6}$
B
$\frac{5 \pi}{6}$
C
$\frac{7 \pi}{6}$
D
$\frac{11 \pi}{6}$
4
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The principal solution of of $(5+3 \sin \theta)(2 \cos \theta+1)=0$ are

A
$\frac{-\pi}{3}, \frac{2 \pi}{3}$
B
$\frac{2 \pi}{3}, \frac{5 \pi}{3}$
C
$\frac{2 \pi}{3}, \frac{4 \pi}{3}$
D
$\frac{2 \pi}{3}, \frac{7 \pi}{3}$
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