48
The value of $\cot ^{-1}(-x) x \in R$ in terms of $\cot ^{-1} x$ is ............ .
Explanation
We know that,
$$\cot ^{-1}(-x)=\pi-\cot ^{-1} x, x \in R$$
49
All trigonometric functions have inverse over their respective domains.
A
TRUE
B
FALSE
50
The value of the expression $\left(\cos ^{-1} x\right)^2$ is equal to $\sec ^2 x$.
A
TRUE
B
FALSE
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