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1
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\cos ^{-1} \frac{3}{5}+\sin ^{-1} \frac{5}{13}+\tan ^{-1} \frac{16}{63}=$
A
$\frac{\pi}{2}$
B
$\frac{\pi}{3}$
C
$\frac{\pi}{4}$
D
$\frac{\pi}{6}$
2
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\cosh ^{-1}\left(\frac{5}{3}\right)+\sinh ^{-1}\left(\frac{3}{4}\right)=k$, then $e^k=$
A
$\frac{2}{3}$
B
$\frac{3}{2}$
C
6
D
5
3
TS EAMCET 2020 (Online) 14th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

Domain of $\cos ^{-1}\left[\log _5\left(x^2+7 x+15\right)\right]$ is

A

The set of all real numbers

B

$(-\infty,-5] \cup[-2, \infty)$

C

$R-\{-5,-2\}$, where $R$ is the set of real numbers

D

$[-5,-2]$

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

If $\sum\limits_{n=1}^k \tan ^{-1}\left(\frac{1}{n^2+3 n+3}\right)=\tan ^{-1} \alpha$, then $\alpha=$

A

$\frac{k}{k+2}$

B

$\frac{2 k}{2 k+1}$

C

$\frac{k}{2 k+5}$

D

$\frac{3 k}{4 k+5}$

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