^ - 1 1 2 + 2 ^ - 1 1 2 is equal to - Vidyadip

MCQ

${\cos ^{ - 1}}\frac{1}{2} + 2{\sin ^{ - 1}}\frac{1}{2}$ is equal to

A
$\frac{\pi }{4}$
B
$\frac{\pi }{6}$
C
$\frac{\pi }{3}$
✓
$\frac{{2\pi }}{3}$

✓

Answer

Correct option: D.

$\frac{{2\pi }}{3}$

d
(d) ${\cos ^{ - 1}}\frac{1}{2} + 2{\sin ^{ - 1}}\frac{1}{2} $

$= \frac{\pi }{3} + \frac{{2\pi }}{6} = \frac{{2\pi }}{3}$.

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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If $xe^{xy}=y+e^{\sin 2x} ,$ then at $x=0, \, \frac{dy}{dx}$ is equal to -

If the angle between the lines whose direction ratios are $2,-1 , 2$ and $a, 3, 5$ be $45^\circ $, then $a =$

If $\alpha$ is the positive root of the equation, $p(x)=x^{2}-x-2=0,$ then $\lim \limits_{x \rightarrow \alpha^{+}} \frac{\sqrt{1-\cos (p(x))}}{x+\alpha-4}$ is equal to

If $\left| {\,\begin{array}{*{20}{c}}a&b&0\\0&a&b\\b&0&a\end{array}\,} \right| = 0$, then

$\int\limits_0^{\frac{\pi }{4}} {} (cos 2x)^{3/2}. \cos\, x \,dx =$

If $\frac{{5\pi }}{2} < x < 3\pi $, then the value of the expression $\frac{{\sqrt {1 - \sin x} + \sqrt {1 + \sin x} }}{{\sqrt {1 - \sin x} - \sqrt {1 + \sin x} }}$ is

$\mathop {\lim }\limits_{x \to a} \frac{{({x^{ - 1}} - {a^{ - 1}})}}{{x - a}} = $

Suppose $a_1, a_2, a_3, \ldots, a_{2012}$ are integers arranged on a circle. Each number is equal to the average of its two adjacent numbers. If the sum of all even indexed numbers is $3018$ , what is the sum of all numbers?

$\text { If } \int \frac{2 e^{x}+3 e^{-x}}{4 e^{x}+7 e^{-x}} d x=\frac{1}{14}\left(u x+v \log _{c}\left(4 e^{x}+7 e^{-x}\right)\right)+C$ where $\mathrm{C}$ is a constant of integration, then $\mathrm{u}+\mathrm{v}$ is equal to .... .

$\int {\cos ({{\log }_e}x)\,dx} $ is equal to