^ -1 (-3)= - Vidyadip

MCQ

$\cot ^{-1}(-\sqrt{3})=$

A
$-\frac{\pi}{6}$
✓
$\frac{5 \pi}{6}$
C
$\frac{\pi}{3}$
D
$\frac{2 \pi}{3}$

✓

Answer

Correct option: B.

$\frac{5 \pi}{6}$

(B) $\cot ^{-1}(-\sqrt{3})=\pi-\cot ^{-1}(\sqrt{3})$
$=\pi-\frac{\pi}{6}=\frac{5 \pi}{6}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Trigonometric Functions→Trigonometric Functions — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Let $\alpha, \beta, \gamma$ be distinct real numbers. The points with position vectors $\alpha \hat{i}+\beta \hat{j}+\gamma \dot{k}$, $\beta \hat{i}+\gamma \hat{j}+\alpha \hat{k}, \gamma \hat{i}+\alpha \hat{j}+\beta \hat{k}$

If $A$ is a matrix of order $m\times n$ and $B$ is a matrix such that $AB^T$ and $B^TA$ are both defined, then the order of matrix $B$ is:

$\bar{a}$ and $\bar{b}$ are unit vectors. If $\bar{a}+\bar{b}$ is a unit vector, then the angle between $\overline{ a }$ and $\overline{ b }$ is

Which of the following quantified statement is false?

The vector $(\cos\text{a}\cos\beta)\hat{\text{i}}+(\cos\text{a}\sin\beta)\hat{\text{j}}+(\sin\text{a})\hat{\text{k}}$ is a:

If $p \rightarrow(p \wedge \sim q)$ is false, the truth values of p and q are respectively

$f : R \rightarrow R$ given by $\text{f(x)}=\text{x}+\sqrt{\text{x}^2}$ is:

$\frac{\text{d}^{20}}{\text{dx}^{20}}(2\cos\text{x}\cos3\text{x})=$

Vectors $(p, q)$ and $(5,1)$ are parallel, if

The vector $\bar{a}=\frac{1}{8} \hat{i}-\frac{3}{8} \hat{j}+\frac{1}{4} \hat{k}$ is