51
The domain of trigonometric functions can be restricted to any one of their branch (not necessarily principal value) in order to obtain their inverse functions.
A
TRUE
B
FALSE
52
The least numerical value, either positive or negative of angle $\theta$ is called principal value of the inverse trigonometric function.
A
TRUE
B
FALSE
53
The graph of inverse trigonometric function can be obtained from the graph of their corresponding function by interchanging $X$ and $Y$-axes.
A
TRUE
B
FALSE
54
The minimum value of $n$ for which $\tan ^{-1} \frac{n}{\pi}>\frac{\pi}{4}, n \in N$, is valid is 5 .
A
TRUE
B
FALSE
55
The principal value of $\sin ^{-1}\left[\cos \left(\sin ^{-1} \frac{1}{2}\right)\right]$ is $\frac{\pi}{3}$.
A
TRUE
B
FALSE