1
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
2
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
$$\frac{5 \pi}{6}$$
3
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
$$\tan ^{-1}\left(\frac{1}{5}\right)$$
4
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

If $$A=\left[\begin{array}{ll}3 & -4 \\ 1 & -1\end{array}\right]$$, then $$\left(A-A^{\prime}\right)$$ is equal to (where, $$A^{\prime}$$ is transpose of matrix $$A$$ )

A
null matrix
B
identity matrix
C
symmetric
D
skew-symmetric
EXAM MAP