[ ^ -1 (-1 7 )+ ^ -1 (-1 7 ) ]= - Vidyadip

MCQ

$\cos \left[\cos ^{-1}\left(\frac{-1}{7}\right)+\sin ^{-1}\left(\frac{-1}{7}\right)\right]=$

A
$\frac{-1}{3}$
✓
$0$
C
$\frac{1}{3}$
D
$\frac{4}{9}$

✓

Answer

Correct option: B.

$0$

(B) $\cos \left\{\cos ^{-1}\left(\frac{-1}{7}\right)+\sin ^{-1}\left(\frac{-1}{7}\right)\right\}=\cos \frac{\pi}{2}=0$

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

The general solution of the equation $4 \cos ^2 x+6 \sin ^2 x=5$, is

The area (in sq. units) of the region $\left\{(x, y): y^2 \geq 2 x\right.$ and $\left.x^2+y^2 \leq 4 x, x \geq 0, y \geq 0\right\}$ is

The number of solutions of $\cos 2 \theta=\sin \theta$ in $(0,2 \pi)$ is

The equation $\sin x+\sin y+\sin z=-3$ for $0 \leq x \leq 2 \pi, 0 \leq y \leq 2 \pi, 0 \leq z \leq 2 \pi$, has

If $(\bar{a} \times \bar{b}) \times \bar{c}=\bar{a} \times(\bar{b} \times \bar{c})$, where $\bar{a}, \bar{b}$ and $\bar{c}$ are any three vectors such that $\bar{a} \cdot \bar{b} \neq 0, \bar{b} \cdot \bar{c} \neq 0$, then $\overline{ a }$ and $\overline{ b }$ are

The direction ratios of the line $x - y + z - 5 = 0 = x - 3y - 6$ are proportional to:

$\int \frac{1}{\sqrt{x}+\sqrt{x^3}} d x=$____

The famliy of curve in which the sub tangent at any point of a curve is double is the abscissae, is

The simplest form of $\cot ^{-1}\left(\frac{1}{\sqrt{x^2-1}}\right),|x|>1$ is

The integral $\int_2^4 \frac{\log x^2}{\log x^2+\log \left(36-12 x+x^2\right)} d x$ is equal to