Find the exact value of cos ⁡ − 1 ( 3 2 ) \cos^{-1}\left(\frac{\sqrt{3}}{2}\right) cos − 1 ( 2 3 <path d="M 95 702 c -2.7 0 -7.17 -2.7 -13.5 -8 c -5.8 -5.3 -9.5 -10 -9.5 -14 c 0 -2 0.3 -3.3 1 -4 c 1.3 -2.7 23.83 -20.7 67.5 -54 c 44.2 -33.3 65.8 -50.3 66.5 -51 c 1.3 -1.3 3 -2 5 -2 c 4.7 0 8.7 3.3 12 10 s 173 378 173 378 c 0.7 0 35.3 -71 104 -213 c 68.7 -142 137.5 -285 206.5 -429 c 69 -144 104.5 -217.7 106.5 -221 c 5.3 -9.3 12 -14 20 -14 H 400000 v 40 H 845.272 s -225.272 467 -225.272 467 s -235 486 -235 486 c -2.7 4.7 -9 7 -19 7 c -6 0 -10 -1 -12 -3 s -194 -422 -194 -422 s -65 47 -65 47 Z M 834 80 H 400000 v 40 H 845 Z" /> )

− π 3 -\frac{\pi}{3} − 3 π

− π 6 -\frac{\pi}{6} − 6 π

Find the exact value of sec ⁡ − 1 ( − 2 ) \sec^{-1}\left(-2\right) sec − 1 ( − 2 )

− π 3 -\frac{\pi}{3} − 3 π

− 2 π 3 -\frac{2\pi}{3} − 3 2 π

cos ⁡ ( sin ⁡ − 1 1 4 + sec ⁡ − 1 4 3 ) \cos\left(\sin^{-1}\frac{\text{1}}{\text{4}}+\sec^{-1}\frac{4}{3}\right) cos ( sin − 1 4 1 + sec − 1 3 4 )

( 3 15 − 7 ) 16 \frac{\left(3\sqrt{15}-\sqrt{7}\right)}{16} 1 6 ( 3 1 5 <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"> − 7 <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 15 − 7 ) 4 \frac{\left(3\sqrt{15}-\sqrt{7}\right)}{4} 4 ( 3 1 5 <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"> − 7 <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 15 + 7 ) 16 \frac{\left(3\sqrt{15}+\sqrt{7}\right)}{16} 1 6 ( 3 1 5 <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"> + 7 <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 15 + 7 ) 4 \frac{\left(3\sqrt{15}+\sqrt{7}\right)}{4} 4 ( 3 1 5 <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"> + 7 <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"> )

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 ]

cot ⁡ − 1 [ cot ⁡ ( − 9 π 4 ) ] \cot^{-1}\left[\cot\left(\frac{-9\pi}{4}\right)\right] cot − 1 [ cot ( 4 − 9 π ) ]

− π 4 \frac{-\pi}{4} 4 − π

− 3 π 4 \frac{-3\pi}{4} 4 − 3 π

If xy<1, then tan ⁡ − 1 x + tan ⁡ − 1 y = − − − − − − \tan^{-1}x+\tan^{-1}y=------ tan − 1 x + tan − 1 y = − − − − − −

tan ⁡ − 1 ( x + y 1 − x y ) \tan^{-1}\left(\frac{x+y}{1-xy}\right) tan − 1 ( 1 − x y x + y )

tan ⁡ − 1 ( x − y 1 + x y ) \tan^{-1}\left(\frac{x-y}{1+xy}\right) tan − 1 ( 1 + x y x − y )

π + tan ⁡ − 1 ( x + y 1 − x y ) \pi+\tan^{-1}\left(\frac{x+y}{1-xy}\right) π + tan − 1 ( 1 − x y x + y )

π − tan ⁡ − 1 ( x + y 1 − x y ) \pi-\tan^{-1}\left(\frac{x+y}{1-xy}\right) π − tan − 1 ( 1 − x y x + y )

tan ⁡ − 1 x + cot ⁡ − 1 x = π / 2 w h e n \tan^{-1}x+\cot^{-1}x=π/2\ when tan − 1 x + cot − 1 x = π / 2 w h e n

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

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

Identify the domain of f ( x ) = cos ⁡ − 1 ( 2 x ) f\left(x\right)=\cos^{-1}\left(2x\right) f ( x ) = cos − 1 ( 2 x )

− 1 2 ≤ x ≤ 1 2 -\frac{1}{2}\le x\le\frac{1}{2} − 2 1 ≤ x ≤ 2 1

− 2 ≤ x ≤ 2 -2\le x\le2 − 2 ≤ x ≤ 2

− 1 ≤ x ≤ 1 -1\le x\le1 − 1 ≤ x ≤ 1 − 1 < x < 1 -1<x<1 − 1 < x < 1

− ∞ < x < ∞ -\infty<x<\infty − ∞ < x < ∞

1. The value of cos ⁡ − 1 ( cos ⁡ 7 π 6 ) \cos^{-1\ }\left(\cos\ \frac{7\pi}{6}\right) cos − 1 ( cos 6 7 π ) is

− π 6 -\frac{\pi}{6} − 6 π

sin ⁡ ( sin ⁡ − 1 ( x ) ) = x o n l y i f \sin\left(\sin^{-1\ }\left(x\right)\right)\ =\ x\ only\ if sin ( sin − 1 ( x ) ) = x o n l y i f

∣ x ∣ ≤ 1 \left|x\right|\le1 ∣ x ∣ ≤ 1

∣ x ∣ ≥ 1 \left|x\right|\ge1 ∣ x ∣ ≥ 1

− π 2 ≤ x ≤ π 2 -\frac{\pi}{2}\le x\le\frac{\pi}{2} − 2 π ≤ x ≤ 2 π

0 ≤ x ≤ π 0\le x\le\pi 0 ≤ x ≤ π

inverse Trigonometric Functions

12th Grade

•

21 Qs

Similar activities

Математикалық сауаттылық

1st Grade - Professional Development

•

20 Qs

MAT S213 Reviewer 2

12th Grade

•

20 Qs

Bangun Datar

6th Grade - University

•

20 Qs

Basic Algebraic Equation

12th Grade - University

•

20 Qs

PreLic - Sesión 2

9th - 12th Grade

•

20 Qs

masa dan waktu tahun 5

4th - 12th Grade

•

20 Qs

REMIDI SAS KELAS

12th Grade

•

20 Qs

Enters (Easy)

7th - 12th Grade

•

16 Qs

inverse Trigonometric Functions

Quiz

•

Mathematics

•

12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.TF.B.7, HSF.TF.C.9, HSF-BF.B.4D

Standards-aligned

SANJEEV KUMAR

Used 238+ times

FREE Resource

21 questions

Show all answers

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What test will you use to determine if a function is one-to-one?

Veetical Line Test

Horizontal Line Test

One-to-one Test

Function Domain-Range Test

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

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

$\frac{\pi}{3}$

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

$\frac{\pi}{6}$

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

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

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

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

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

Tags

CCSS.HSF.TF.B.7

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the restricted domain of the cosine function in order to have an inverse cosine function?

$\left[0,\pi\right]\ -\ \left\{\frac{\pi}{2}\right\}$

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

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

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

Tags

CCSS.HSF-BF.B.4D

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Inverse Functions

Not Inverse Functions

Tags

CCSS.HSF-BF.B.4B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What operation allows us to verify if functions are inverses?

Multiplying

Dividing

Adding

Composing

Tags

CCSS.HSF-BF.B.4B

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

$\tan\left(\sin^{-1}\left(\frac{5}{13}\right)\right)$ is

5/12

5/13

3/13

3/5

Tags

CCSS.HSF.TF.C.8

Create a free account and access millions of resources

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

20 questions

Addition and Multiplication Properties

Quiz

•

9th - 12th Grade

20 questions

Mineduc D

Quiz

•

7th - 12th Grade

16 questions

Enters (Easy)

Quiz

•

7th - 12th Grade

20 questions

Математикалық сауаттылық

Quiz

•

1st Grade - Professio...

16 questions

Oxyz - Khoảng cách

Quiz

•

12th Grade

20 questions

MAT S213 Reviewer 2

Quiz

•

12th Grade

16 questions

PELUANG 8

Quiz

•

9th - 12th Grade

20 questions

F lineal 2: Ecuación de la recta

Quiz

•

12th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

15 questions

4:3 Model Multiplication of Decimals by Whole Numbers

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

The Best Christmas Pageant Ever Chapters 1 & 2

Quiz

•

4th Grade

12 questions

Unit 4 Review Day

Quiz

•

3rd Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

Discover more resources for Mathematics

11 questions

Solve Systems of Equations and Inequalities

Quiz

•

9th - 12th Grade

17 questions

Identify Linear and Nonlinear Functions

Quiz

•

8th - 12th Grade

15 questions

Identify Triangle Congruence Postulates

Quiz

•

9th - 12th Grade

12 questions

Combine Like Terms

Quiz

•

6th - 12th Grade

20 questions

Multi-Step Equations and Variables on Both Sides

Quiz

•

9th - 12th Grade

20 questions

Multiplication and Division Facts

Quiz

•

3rd - 12th Grade

30 questions

Unit 1 Final Review

Quiz

•

9th - 12th Grade

16 questions

Percent Of A Number

Quiz

•

6th - 12th Grade

inverse Trigonometric Functions

21 questions

What test will you use to determine if a function is one-to-one?

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

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

What is the restricted domain of the cosine function in order to have an inverse cosine function?

What operation allows us to verify if functions are inverses?

$\tan\left(\sin^{-1}\left(\frac{5}{13}\right)\right)$ is

$\cos\left(\sin^{-1}\frac{\text{1}}{\text{4}}+\sec^{-1}\frac{4}{3}\right)$

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

$\cot^{-1}\left[\cot\left(\frac{-9\pi}{4}\right)\right]$

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

inverse Trigonometric Functions

21 questions

What test will you use to determine if a function is one-to-one?

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

Find the exact value of sec⁡−1(−2)\sec^{-1}\left(-2\right)sec−1(−2)

What is the restricted domain of the cosine function in order to have an inverse cosine function?

What operation allows us to verify if functions are inverses?

tan⁡(sin⁡−1(513))\tan\left(\sin^{-1}\left(\frac{5}{13}\right)\right)tan(sin−1(135​)) is

cos⁡(sin⁡−114+sec⁡−143)\cos\left(\sin^{-1}\frac{\text{1}}{\text{4}}+\sec^{-1}\frac{4}{3}\right)cos(sin−141​+sec−134​)

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

cot⁡−1[cot⁡(−9π4)]\cot^{-1}\left[\cot\left(\frac{-9\pi}{4}\right)\right]cot−1[cot(4−9π​)]

Create a free account and access millions of resources

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 $\sec^{-1}\left(-2\right)$

$\tan\left(\sin^{-1}\left(\frac{5}{13}\right)\right)$ is

$\cos\left(\sin^{-1}\frac{\text{1}}{\text{4}}+\sec^{-1}\frac{4}{3}\right)$

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

$\cot^{-1}\left[\cot\left(\frac{-9\pi}{4}\right)\right]$