The principal value of ^ -1 (- 3 2 ) is - Vidyadip

MCQ

The principal value of $\sin ^{-1}\left(-\frac{\sqrt{3}}{2}\right)$ is

A
$\left(-\frac{2 \pi}{3}\right)$
B
$\frac{4 \pi}{3}$
C
$\frac{5 \pi}{3}$
✓
$-\frac{\pi}{3}$

✓

Answer

Correct option: D.

$-\frac{\pi}{3}$

d) $-\frac{\pi}{3}$

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

$\int \frac{x}{\sqrt{1-2 x^4}} d x=\ ($where $C$ is a constant of integration$)$

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

For three vectors $\overline{ p }, \overline{ q }$ and $\overline{ r }$, if $\overline{ r }=3 \overline{ p }+4 \overline{ q }$ and $2 \overline{ r }=\overline{ p }-3 \overline{ q }$, then

Solve the system of equations $x+2 y+z=4$, $-x+y+z=0$ and $x-3 y+z=4$.

If $w$ is a non$-$real cube root of unity and $n$ is not a multiple of $3$, then $\begin{vmatrix}1&\omega^{\text{n}}&\omega^{2\text{n}}\\\omega^{2\text{n}}&1&\omega^{\text{n}}\\\omega^{\text{n}}&\omega^{2\text{n}}&1\end{vmatrix}$ is equal to:

The negation of 'For every natural number x, $x+5>4$' is.

If $\big|\vec{\text{a}}\times\vec{\text{b}}\big|=4,\big|\vec{\text{a}}.\vec{\text{b}}\big|=2,$ then $|\vec{\text{a}}|^2\big|\vec{\text{b}}\big|^2=$

If A B C D is a parallelogram, $\overline{A B}$ $=2 \hat{i}+4 \hat{j}-5 \hat{k}$ and $\overline{A D}=\hat{i}+2 \hat{j}+3 \hat{k}$, then the unit vector in the direction of BD is

If p and q are two logical statements and A and B are two sets, then p →q corresponds to

If matrix $\text{A}=\big[\text{a}_{\text{ij}}\big]_{2\times2'}$ where $\text{a}_\text{ij}=\begin{cases}1,&\text{if }\text{i }\neq\text{j}\\0,&\text{if }\text{i }=\text{j}\end{cases},$ then $A^2$ is equal to: