Unit 3 Review

Select the inverse function of Sine. (Select all that apply)

• $y=\sin^{-1}x$

• $y=\cos^{-1}x$

• $y=\tan^{-1}x$

• $y=\arcsin x$

• $y=\arccos x$

Tags

CCSS.HSF.TF.B.7

Select the inverse function of Cosine. (Select all that apply)

• $y=\sin^{-1}x$

• $y=\cos^{-1}x$

• $y=\tan^{-1}x$

• $y=\arcsin x$

• $y=\arccos x$

Tags

CCSS.HSF.TF.B.7

Select the inverse function of Cosine. (Select all that apply)

• $y=\sin^{-1}x$

• $y=\cos^{-1}x$

• $y=\tan^{-1}x$

• $y=\arcsin x$

• $y=\arctan x$

Tags

CCSS.HSF.TF.B.7

Which are the correct restrictions of the domain and range of the inverse function:

 $y=\sin^{-1}x$  

• D:  $-1\le x\le1$  
  R:  $0\le y\le\pi$  

• D:  $-1\le x\le1$  
  R:  $-\frac{\pi}{2}\le y\le\frac{\pi}{2}$  

• D:  $-\infty<x<\infty$  
  R:   $0\le y\le\pi$  

• D:  $-\infty\le x\le\infty$  
  R:  $-\frac{\pi}{2}\le y\le\frac{\pi}{2}$  

Tags

CCSS.HSF-BF.B.4D

Which are the correct restrictions of the domain and range of the inverse function:

 $y=\cos^{-1}x$  

• D:  $-1\le x\le1$  
  R:  $0\le y\le\pi$  

• D:  $-1\le x\le1$  
  R:  $-\frac{\pi}{2}\le y\le\frac{\pi}{2}$  

• D:  $-\infty<x<\infty$  
  R:   $0\le y\le\pi$  

• D:  $-\infty\le x\le\infty$  
  R:  $-\frac{\pi}{2}\le y\le\frac{\pi}{2}$  

Tags

CCSS.HSF-BF.B.4D

Which are the correct restrictions of the domain and range of the inverse function:

$y=\cos^{-1}x$

• D: $-1\le x\le1$
  R: $0\le y\le\pi$

• D: $-1\le x\le1$
  R: $-\frac{\pi}{2}\le y\le\frac{\pi}{2}$

• D: $-\infty<x<\infty$
  R: $0\le y\le\pi$

• D: $-\infty\le x\le\infty$
  R: $-\frac{\pi}{2}<y<\frac{\pi}{2}$

Tags

CCSS.HSF-BF.B.4D

 $\sin\left(\sin^{-1}x\right)=x$  if ____________

•  $-1\le x\le1$  

•  $-\frac{\pi}{2}\le x\le\frac{\pi}{2}$  

•  $0\le x\le\pi$  

•  $-\infty<x<\infty$  

Tags

CCSS.HSF.TF.B.7

 $\sin^{-1}\left(\sin x\right)=x$  if ____________

•  $-1\le x\le1$  

•  $-\frac{\pi}{2}\le x\le\frac{\pi}{2}$  

•  $0\le x\le\pi$  

•  $-\infty<x<\infty$  

Tags

CCSS.HSF-BF.B.4D

 $\cos\left(\cos^{-1}x\right)=x$  if ____________

•  $-1\le x\le1$  

•  $-\frac{\pi}{2}\le x\le\frac{\pi}{2}$  

•  $0\le x\le\pi$  

•  $-\infty<x<\infty$  

 $\cos^{-1}\left(\cos x\right)=x$  if ____________

•  $-1\le x\le1$  

•  $-\frac{\pi}{2}\le x\le\frac{\pi}{2}$  

•  $0\le x\le\pi$  

•  $-\infty<x<\infty$