Find the exact value of sin ⁡ − 1 ( − 2 2 ) \sin^{-1}\left(-\frac{\sqrt{2}}{2}\right) sin − 1 ( − 2 2 <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"> ) .

− π 4 -\frac{\pi}{4} − 4 π

Find the exact 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 4 -\frac{\pi}{4} − 4 π

Find the exact value of sin ⁡ ( tan ⁡ − 1 ( 3 ) ) \sin\left(\tan^{-1}\left(\sqrt{3}\right)\right) sin ( tan − 1 ( 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"> ) ) .

3 2 \frac{\sqrt{3}}{2} 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">

2 2 \frac{\sqrt{2}}{2} 2 2 <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">

− 3 2 -\frac{\sqrt{3}}{2} − 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">

− 2 2 -\frac{\sqrt{2}}{2} − 2 2 <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">

Find the exact value of cos ⁡ − 1 ( tan ⁡ π 4 ) \cos^{-1}\left(\tan\ \frac{\pi}{4}\right) cos − 1 ( tan 4 π ) .

2 2 \frac{\sqrt{2}}{2} 2 2 <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">

− 2 2 -\frac{\sqrt{2}}{2} − 2 2 <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">

Find the exact value of tan ⁡ − 1 ( tan ⁡ 3 π 4 ) \tan^{-1}\left(\tan\ \frac{3\pi}{4}\right) tan − 1 ( tan 4 3 π ) .

− π 4 -\frac{\pi}{4} − 4 π

− π 3 -\frac{\pi}{3} − 3 π

Inverse Trigonometric Functions Quiz

Resource Library

Math

Trigonometry

Inverse Trigonometric Functions

Authored by Jose C

Mathematics

11th - 12th Grade

CCSS covered

Used 46+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

10 questions

Show all answers

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which can be a restriction for the domain of y = sin x so the inverse sine can be a function?

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

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

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

$\left[0,\ 2\pi\right]$

Tags

CCSS.HSF-BF.B.4D

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which can be a restriction for the domain of y = cos x so the inverse cosine can be a function?

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

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

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

$\left[0,\ 2\pi\right]$

Tags

CCSS.HSF-BF.B.4D

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the exact value of $\cos^{-1}\left(-\frac{\sqrt{3}}{2}\right)$ .

$\frac{\pi}{6}$

$\frac{3\pi}{4}$

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

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

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the exact value of $\tan^{-1}\left(\frac{\sqrt{3}}{2}\right)$ .

$\frac{\pi}{6}$

$\frac{3\pi}{4}$

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

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

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the exact value of $\sin^{-1}\left(-\frac{\sqrt{2}}{2}\right)$ .

$\frac{\pi}{6}$

$-\frac{\pi}{4}$

$\frac{\pi}{4}$

$\frac{\pi}{3}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the exact value of $\sin^{-1}\left(-\frac{1}{2}\right)$ .

$\frac{\pi}{6}$

$-\frac{\pi}{4}$

$\frac{\pi}{4}$

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

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the exact value of $\sin\left(\tan^{-1}\left(\sqrt{3}\right)\right)$ .

$\frac{\sqrt{3}}{2}$

$\frac{\sqrt{2}}{2}$

$-\frac{\sqrt{3}}{2}$

$-\frac{\sqrt{2}}{2}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the exact value of $\cos^{-1}\left(\tan\ \frac{\pi}{4}\right)$ .

$\frac{\sqrt{2}}{2}$

$-\frac{\sqrt{2}}{2}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the exact value of $\tan^{-1}\left(\tan\ \frac{3\pi}{4}\right)$ .

$\frac{\pi}{4}$

$-\frac{\pi}{4}$

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

$\frac{\pi}{6}$

Tags

CCSS.HSF.TF.B.7

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

14 questions

Multiplying and Dividing Fractions

Quiz

•

10th - 12th Grade

11 questions

Laboratorio de matemática segundo año

Quiz

•

11th Grade

10 questions

Test wiedzy o liczbie pi

Quiz

•

4th Grade - Professio...

10 questions

ISIPADU KUBUS DAN KUBOID

Quiz

•

10th - 12th Grade

11 questions

Induksi Matematika

Quiz

•

11th Grade

10 questions

6.3 Partial Fractions

Quiz

•

12th Grade

10 questions

Quiz 5 คาบและแอมพลิจูดของฟังก์ชันตรีโกณ

Quiz

•

11th Grade

12 questions

三角函數公式小小考 1

Quiz

•

11th Grade

Popular Resources on Wayground

10 questions

5.P.1.3 Distance/Time Graphs

Quiz

•

5th Grade

10 questions

Fire Drill

Quiz

•

2nd - 5th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

22 questions

School Wide Vocab Group 1 Master

Quiz

•

6th - 8th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

12 questions

What makes Nebraska's government unique?

Quiz

•

4th - 5th Grade

Discover more resources for Mathematics

10 questions

Factor Quadratic Expressions with Various Coefficients

Quiz

•

9th - 12th Grade

19 questions

Explore Probability Concepts

Quiz

•

7th - 12th Grade

43 questions

STAAR WEEK 1

Quiz

•

9th - 12th Grade

11 questions

Solving Quadratic Equations by Factoring

Quiz

•

9th - 12th Grade

20 questions

Solving quadratics using square roots

Quiz

•

11th Grade

10 questions

Trigonometric Ratios

Quiz

•

9th - 11th Grade

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade

6 questions

Equations of Circles

Quiz

•

9th - 12th Grade

Inverse Trigonometric Functions

Which can be a restriction for the domain of y = sin x so the inverse sine can be a function?

Which can be a restriction for the domain of y = cos x so the inverse cosine can be a function?

Find the exact value of cos⁡−1(−32)\cos^{-1}\left(-\frac{\sqrt{3}}{2}\right)cos−1(−23​​) .

Find the exact value of tan⁡−1(32)\tan^{-1}\left(\frac{\sqrt{3}}{2}\right)tan−1(23​​) .

Find the exact value of sin⁡−1(−22)\sin^{-1}\left(-\frac{\sqrt{2}}{2}\right)sin−1(−22​​) .

Find the exact value of sin⁡−1(−12)\sin^{-1}\left(-\frac{1}{2}\right)sin−1(−21​) .

Find the exact value of sin⁡(tan⁡−1(3))\sin\left(\tan^{-1}\left(\sqrt{3}\right)\right)sin(tan−1(3​)) .

Find the exact value of cos⁡−1(tan⁡ π4)\cos^{-1}\left(\tan\ \frac{\pi}{4}\right)cos−1(tan 4π​) .

Find the exact value of tan⁡−1(tan⁡ 3π4)\tan^{-1}\left(\tan\ \frac{3\pi}{4}\right)tan−1(tan 43π​) .

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find the exact value of $\cos^{-1}\left(-\frac{\sqrt{3}}{2}\right)$ .

Find the exact value of $\tan^{-1}\left(\frac{\sqrt{3}}{2}\right)$ .

Find the exact value of $\sin^{-1}\left(-\frac{\sqrt{2}}{2}\right)$ .

Find the exact value of $\sin^{-1}\left(-\frac{1}{2}\right)$ .

Find the exact value of $\sin\left(\tan^{-1}\left(\sqrt{3}\right)\right)$ .

Find the exact value of $\cos^{-1}\left(\tan\ \frac{\pi}{4}\right)$ .

Find the exact value of $\tan^{-1}\left(\tan\ \frac{3\pi}{4}\right)$ .