1
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { Evaluate: } \cos ^{-1}\left(\cos \frac{35 \pi}{18}\right)-\sin ^{-1}\left(\sin \frac{35 \pi}{18}\right) $$

A
0
B
$$\frac{\pi}{9}$$
C
$$\frac{\pi}{18}$$
D
$$\pi$$
2
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

Evaluate :

$$ \operatorname{cosec}^{-1}\left(-\frac{2 \sqrt{3}}{3}\right)+\tan ^{-1}\left(-\frac{\sqrt{3}}{3}\right)+\sec ^{-1} 2+\cos ^{-1}\left(-\frac{1}{2}\right)-\sin ^{-1}\left(\frac{\sqrt{2}}{2}\right)$$

A
$$ -\frac{\pi}{12} $$
B
$$ -\frac{5\pi}{12} $$
C
$$ \frac{5 \pi}{4} $$
D
$$ \frac{\pi}{4} $$
3
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If } y=\sin ^{-1}(\sqrt{\sin x}) \text {, then } \frac{d y}{d x} \text { equals } $$

A
$$ \frac{1}{2} \sqrt{1-\operatorname{cosec} x} $$
B
$$ \frac{1}{2} \sqrt{1-\sin x} $$
C
$$ \frac{1}{2} \sqrt{1+\operatorname{cosec} x} $$
D
$$ \frac{1}{2} \sqrt{1+\sin x} $$
4
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If } \alpha=\tan ^{-1}\left(\tan \frac{5 \pi}{4}\right) \text { and } \beta=\tan ^{-1}\left(-\tan \frac{2 \pi}{3}\right) \text { then } $$

A
$$ 3 \alpha=4 \beta $$
B
$$ \alpha-\beta=\frac{7 \pi}{12} $$
C
$$ 4 \alpha=3 \beta $$
D
$$ \alpha+\beta=-\frac{7 \pi}{12} $$
COMEDK Subjects
EXAM MAP