1
COMEDK 2024 Morning Shift
+1
-0

Evaluate : $$\cos ^{-1}\left[\cos \left(-680^{\circ}\right)\right]+\sin ^{-1}\left[\sin \left(-600^{\circ}\right)\right]-\cos ^{-1}\left(\sin 270^{\circ}\right)$$

A
$$\frac{14 \pi}{9}$$
B
$$-\frac{5 \pi}{9}$$
C
$$-\frac{4 \pi}{9}$$
D
$$\pi$$
2
COMEDK 2024 Morning Shift
+1
-0

$$\text { The value of } \sin ^{-1}\left[\cot \left(\frac{1}{2} \tan ^{-1} \frac{1}{\sqrt{3}}+\cos ^{-1} \frac{\sqrt{12}}{4}+\sin ^{-1} \frac{1}{\sqrt{2}}\right)\right]$$ is

A
$$\frac{\pi}{6}$$
B
$$\frac{\pi}{2}$$
C
$$\frac{\pi}{4}$$
D
0
3
COMEDK 2023 Evening Shift
+1
-0

$$\text { Let } f(x)=\cos ^{-1}(3 x-1) \text {, then domain of } f(x) \text { is equal to }$$

A
$$\left[0, \frac{2}{3}\right]$$
B
$$\left(0, \frac{2}{3}\right)$$
C
$$\left(-\frac{2}{3}, \frac{2}{3}\right)$$
D
$$\left[-\frac{2}{3}, \frac{2}{3}\right]$$
4
COMEDK 2023 Evening Shift
+1
-0

$$\text { The value of } \sin ^{-1}\left[\cos \left(39 \frac{\pi}{5}\right)\right] \text { is }$$

A
$$\frac{\pi}{2}$$
B
$$\frac{3 \pi}{10}$$
C
$$\frac{3 \pi}{5}$$
D
$$\frac{-3 \pi}{10}$$
EXAM MAP
Medical
NEET