1
TS EAMCET 2022 (Online) 18th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\theta=\frac{\pi}{12}$ and $x=\log \left(\cot \left(\frac{\pi}{4}+\theta\right)\right)$, then $\cosh x=$

A

$\frac{2}{\sqrt{3}}$

B

$\frac{-2}{\sqrt{3}}$

C

$\frac{\sqrt{3}}{2}$

D

$\frac{-\sqrt{3}}{2}$

2
TS EAMCET 2022 (Online) 18th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

$2 \cosh (x+y) \sinh (x-y)+\sinh 2 y=$

A

$\sinh 2 x$

B

$\frac{\sinh 2 x+\sinh 2 y}{2}$

C

$\frac{\sinh 2 x-\sinh 2 y}{2}$

D

$\cosh 2 x$

3
TS EAMCET 2020 (Online) 14th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $\cos x-\sin x=\sqrt{a} \sin x$, then $a \sin x+\cos x-\sin x=$

A

$-\sqrt{a} \sin x$

B

$\sqrt{a} \cos x$

C

$(\sqrt{a}-1) \sin x$

D

$-\sqrt{a} \cos x$

4
TS EAMCET 2020 (Online) 14th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { Match the items of List-I to the items of List-II } $$

$$
\text { List-I }
$$
$$
\text { List-II }
$$
A. The period of $\sin ^2 x$ is I. $$
\frac{2 \pi}{3}
$$
B. $$
\begin{aligned}
&\text { Maximum value of }\\
&\frac{\pi}{3}(\sqrt{3} \cos 3 x+\sin 3 x)
\end{aligned}
$$
II. $$
12 \pi
$$
C. The period of $\sin \frac{x}{3}+\cos \frac{x}{2}$ is III. $$
\frac{\pi}{2}
$$
D. Intersection points of $y=|\sin x|$ and $y=1$ in $(0, \pi)$ IV. $$
\frac{3\pi}{2}
$$
V $$
\pi
$$

$$ \text { The correct match is } $$

A
A B C D
V I II III
B
A B C D
IV I II III
C
A B C D
III I IV V
D
A B C D
IV III II V

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