^ -1 ⁡x+ ^ 1 ⁡x= - Vidyadip

MCQ

$ \sin^{-1}\text{⁡x}+\cos^{1}\text{⁡x}= $

✓
$ \frac{\pi }{2}$
B
$\pi$
C
$\pi^3$
D
$2\pi $

✓

Answer

Correct option: A.

$ \frac{\pi }{2}$

$ \sin-1\text{⁡x}+\cos-1\text{⁡x}=\pi ^2; \text{x} \in [-1,1] $

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 Inverse Trigonometric Functions→Inverse Trigonometric Functions — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Find the absolute maximum value of $f(x)=4 x-\frac{1}{2} x^2$ in interval $\left[-2, \frac{9}{2}\right]$.

If $x \phi(x)=\int_{5}^{x}\left(3 t^{2}-2 \phi^{\prime}(t)\right) d t, x\,>\,-2$, and $\phi(0)=4$ then $\phi(2)$ is .... .

Let $3\sin(\text{xy})+4\cos(\text{xy})=5,$ then $\frac{\text{dy}}{\text{dx}}=$

Let $\vec{\text{a}},\vec{\text{b}},\vec{\text{c}}$ be three unit vectors, such that $\big|\vec{\text{a}}+\vec{\text{b}}+\vec{\text{c}}\big|=1$ and $\vec{\text{a}}$ is perpendicular to $\vec{\text{b}}.$ If $\vec{\text{c}}$ makes angle $\alpha$ and $\beta$ with $\vec{\text{a}}$ and $\vec{\text{b}}$ respectively, then $\cos\alpha+\cos\beta=$

The point at which the maximum value of $Z=3 x+2 y$ subject to the constraints $x+2 y \leq 2, x \geq 0, y \geq 0$ is $.....$

If $\text{y}=\text{a}\cos(\log_\text{e}\text{x})+\text{b}\sin(\log_\text{e}\text{x})$ then $\text{x}^2\text{y}^2+\text{xy}_1=$

Consider the non-empty set consisting of children in a family and a relation $R$ defined as $a R b$ if $a$ is brother of $b$. Then $R$ is

The transpose of a row matrix is :

$\cos\Big(2\tan^{-1}\frac{1}{7}\Big)-\sin\Big(4\sin^{-1}\frac{1}{3}\Big)=$

The area of the figure bounded by the curves $y = \,|x - 1|$ and $y = 3 - |x|,$ is ....... $ sq.\,unit$