^ -1 (-1 2 )+ ^ -1 ( 3 2 )=___________. - Vidyadip

MCQ

$\sin ^{-1}\left(-\frac{1}{2}\right)+\cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)=$___________.

A
$\frac{\pi}{2}$
B
$\pi$
C
$\frac{5 \pi}{6}$
✓
$0$

✓

Answer

Correct option: D.

$0$

D

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 "M.C.Q (1 Marks)" from MARCH 2024→MARCH 2024 — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If $\cos \left ( 2\sin^{-1}\text{x} \right )=\frac{1}{9}$, the value of x which satify equation is $ \pm \frac{a}{b}$. Find the value of a + b:

2
3
4
5

If $\left[\begin{array}{cc}1 & -\tan \theta \\ \tan \theta & 1\end{array}\right]\left[\begin{array}{cc}1 & \tan \theta \\ -\tan \theta & 1\end{array}\right]^{-1}=\left[\begin{array}{cc}a & -b \\ b & a\end{array}\right]$, then

If $\overrightarrow{ x }$ and $\overrightarrow{ y }$ be two non-zero vectors such that $|\overrightarrow{ x }+\overrightarrow{ y }|=|\overrightarrow{ x }|$ and $2 \overrightarrow{ x }+\lambda \overrightarrow{ y }$ is perpendicular to $\overrightarrow{ y },$ then the value of $\lambda$ is

$\int {\frac{{{x^{\frac{1}{3}}}}}{{{{(1 + {x^{\frac{2}{3}}})}^3}}}}dx$ is equal to (where $C$ is constant of integration)

Three points whose position vectors are $a + b,\,\,a - b$ and $a + kb$ will be collinear, if the value of $k $ is

If $x=a \cos \theta+b \sin \theta, y=a \sin \theta-b \cos \theta$, then which one of the following is true?

Read the following mathematical statements carefully :

$I.$ Adifferentiable function $' f '$ with maximum at $x = c$ ==> $ f "(c) < 0$.

$II.$ Antiderivative of a periodic function is also a periodic function.

$III.$ If $f$ has a period $T$ then for any $a \in R$. $\int\limits_0^T {f(x)\,dx} = \int\limits_0^T {f(x + a)\,dx} $

$IV.$ If $f (x)$ has a maxima at $x = c$ , then $'f '$ is increasing in $(c - h, c)$ and decreasing in $(c, c + h)$ as $h \rightarrow 0$ for $h > 0.$ Now indicate the correct alternative.

${\cot ^{ - 1}}3 + {\rm{cose}}{{\rm{c}}^{ - 1}}\sqrt 5 =$

Let $\vec a $ and $\vec b $ be two unit vectors. If the vector $\vec c=\vec a+2\vec b $ and $\vec d=5\vec a-4\vec b $ are perpendicular to each other, then the angle between $\vec a$ and $\vec b$

Find the equation of the line joining $\mathrm{A}(1,3)$ and $\mathrm{B}(0,0)$ using determinants and find $\mathrm{k}$ if $\mathrm{D}(\mathrm{k}, 0)$ is a point such that area of triangle $\mathrm{ABD}$ is $3 \,\mathrm{sq}$ $\mathrm{units}$.