1
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

The value of $$\cos \left(\frac{3 \pi}{2}+x\right) \cos (2 \pi+x)\left\{\cot \left(\frac{3 \pi}{2}-x\right)+\cot (2 \pi+x)\right\}$$ is

A
0
B
1
C
cos x
D
sin x
2
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

If $$\theta=\frac{\pi}{2^n+1}$$, then the value of $$2^n \cos \theta \cos 2 \theta \cos 2^2 \theta \ldots \cos 2^{n-1} \theta$$ is

A
$$\sin \theta$$
B
$$\frac{\pi}{2}$$
C
0
D
1
3
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

Using the principal values, the value of $$\sin ^{-1}\left\{\sin \frac{5 \pi}{6}\right\}+\tan ^{-1}\left\{\tan \frac{\pi}{6}\right\}$$ is equal to

A
$$\frac{\pi}{6}$$
B
$$\frac{2 \pi}{3}$$
C
$$\frac{\pi}{3}$$
D
$$\frac{5 \pi}{6}$$
4
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

Find the value of $$\cos ^{-1}\left(\frac{4}{5}\right)+\tan ^{-1}\left(\frac{3}{5}\right)$$.

A
$$\tan ^{-1}\left(\frac{7}{10}\right)$$
B
$$\tan ^{-1}\left(\frac{27}{11}\right)$$
C
$$\sin ^{-1}\left(\frac{7}{5}\right)$$
D
$$\tan ^{-1}\left(\frac{1}{5}\right)$$
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