Domain of function sin ⁡ − 1 x i s \sin^{-1}x\ is sin − 1 x i s

[ − 1 , 1 ] \left[-1,1\right] [ − 1 , 1 ]

[ − π 2 , π 2 ] \left[-\frac{\pi}{2},\frac{\pi}{2}\right] [ − 2 π , 2 π ]

( − π 2 , π 2 ) \left(-\frac{\pi}{2},\frac{\pi}{2}\right) ( − 2 π , 2 π )

( − 1 , 1 ) \left(-1,1\right) ( − 1 , 1 )

Domain of function cos ⁡ − 1 x i s \cos^{-1}x\ is cos − 1 x i s

[ − 1 , 1 ] \left[-1,1\right] [ − 1 , 1 ]

[ − π 2 , π 2 ] \left[-\frac{\pi}{2},\frac{\pi}{2}\right] [ − 2 π , 2 π ]

( − π 2 , π 2 ) \left(-\frac{\pi}{2},\frac{\pi}{2}\right) ( − 2 π , 2 π )

( − 1 , 1 ) \left(-1,1\right) ( − 1 , 1 )

Range of function sin ⁡ − 1 x i s \sin^{-1}x\ is sin − 1 x i s

[ − π 2 , π 2 ] \left[-\frac{\pi}{2},\frac{\pi}{2}\right] [ − 2 π , 2 π ]

( − π 2 , π 2 ) \left(-\frac{\pi}{2},\frac{\pi}{2}\right) ( − 2 π , 2 π )

( − 1 , 1 ) \left(-1,1\right) ( − 1 , 1 )

[ − 1 , 1 ] \left[-1,1\right] [ − 1 , 1 ]

Range of function cos ⁡ − 1 x i s \cos^{-1}x\ is cos − 1 x i s

[ 0 , π ] \left[0,\ \pi\right] [ 0 , π ]

( − π 2 , π 2 ) \left(-\frac{\pi}{2},\frac{\pi}{2}\right) ( − 2 π , 2 π )

( − 1 , 1 ) \left(-1,1\right) ( − 1 , 1 )

[ − 1 , 1 ] \left[-1,1\right] [ − 1 , 1 ]

Range of function tan ⁡ − 1 x i s \tan^{-1}x\ is tan − 1 x i s

( − π 2 , π 2 ) \left(-\frac{\pi}{2},\frac{\pi}{2}\right) ( − 2 π , 2 π )

R − { π 2 } R-\left\{\frac{\pi}{2}\right\} R − { 2 π }

[ − π 2 , π 2 ] \left[-\frac{\pi}{2},\frac{\pi}{2}\right] [ − 2 π , 2 π ]

The value of sin ⁡ − 1 ( − 1 2 ) \sin^{-1}\left(-\frac{1}{2}\right)\ sin − 1 ( − 2 1 )

− π 6 -\frac{\pi}{6} − 6 π

− π 3 -\frac{\pi}{3} − 3 π

The value of cos ⁡ − 1 ( − 3 2 ) \cos^{-1}\left(-\frac{\sqrt{3}}{2}\right)\ cos − 1 ( − 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ) is

− 5 π 6 -\frac{5\pi}{6} − 6 5 π

− π 6 -\frac{\pi}{6} − 6 π

Inverse Trigonometric Functions

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.TF.B.7, HSF-BF.B.4D, HSF.TF.C.8

Standards-aligned

Lindsay Kirk

Used 855+ times

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Domain of function $\sin^{-1}x\ is$

$\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$

$\left(-\frac{\pi}{2},\frac{\pi}{2}\right)$

$\left(-1,1\right)$

$\left[-1,1\right]$

Tags

CCSS.HSF-BF.B.4D

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Domain of function $\cos^{-1}x\ is$

$\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$

$\left(-\frac{\pi}{2},\frac{\pi}{2}\right)$

$\left(-1,1\right)$

$\left[-1,1\right]$

Tags

CCSS.HSF-BF.B.4D

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Range of function $\sin^{-1}x\ is$

$\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$

$\left(-\frac{\pi}{2},\frac{\pi}{2}\right)$

$\left(-1,1\right)$

$\left[-1,1\right]$

Tags

CCSS.HSF-BF.B.4D

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Range of function $\cos^{-1}x\ is$

$\left[0,\ \pi\right]$

$\left(-\frac{\pi}{2},\frac{\pi}{2}\right)$

$\left(-1,1\right)$

$\left[-1,1\right]$

Tags

CCSS.HSF-BF.B.4D

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Range of function $\tan^{-1}x\ is$

R

$\left(-\frac{\pi}{2},\frac{\pi}{2}\right)$

$R-\left\{\frac{\pi}{2}\right\}$

$\left[-\frac{\pi}{2},\frac{\pi}{2}\right]$

Tags

CCSS.HSF-BF.B.4D

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

$\frac{\pi}{3}$

$\frac{\pi}{6}$

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

$-\frac{\pi}{6}$

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

$\frac{5\pi}{6}$

$-\frac{5\pi}{6}$

$\frac{\pi}{6}$

$-\frac{\pi}{6}$

Tags

CCSS.HSF.TF.B.7

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Domain of function sin⁡−1x is\sin^{-1}x\ issin−1x is

Domain of function cos⁡−1x is\cos^{-1}x\ iscos−1x is

Range of function sin⁡−1x is\sin^{-1}x\ issin−1x is

Range of function cos⁡−1x is\cos^{-1}x\ iscos−1x is

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The value of cos⁡−1(−32) \cos^{-1}\left(-\frac{\sqrt{3}}{2}\right)\ cos−1(−23​​) is

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