inverse Trigonometric Functions

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

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.A.3

CCSS.HSF.TF.B.7

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.BF.B.4

CCSS.HSF.TF.B.6

CCSS.HSF.TF.B.7

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.4

CCSS.HSF.TF.B.6

• Inverse Functions

• Not Inverse Functions

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composing

Tags

CCSS.HSF.BF.B.4

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

• 5/12

• 5/13

• 3/13

• 3/5

Tags

CCSS.HSF.TF.C.8

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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

•  $\frac{\left(3\sqrt{15}-\sqrt{7}\right)}{16}$  

•  $\frac{\left(3\sqrt{15}-\sqrt{7}\right)}{4}$  

•  $\frac{\left(3\sqrt{15}+\sqrt{7}\right)}{16}$  

•  $\frac{\left(3\sqrt{15}+\sqrt{7}\right)}{4}$  

Tags

CCSS.HSF.TF.B.7

CCSS.HSF.TF.C.9

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.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

CCSS.HSF.TF.B.7

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

•  $\frac{\pi}{4}$  

•  $\frac{-\pi}{4}$  

•  $\frac{-3\pi}{4}$  

•  $\frac{3\pi}{4}$  

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.B.7