Inverse Trig Functions

Practice with Inverse Trig Functions

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

 $\sin^{-1}\left(\frac{\sqrt{2}}{2}\right)$  

•  $45\degree$  

•  $60\degree$  

•  $90\degree$  

•  $0\degree$  

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

 $\cos^{-1}\left(0\right)$  

•  $45\degree$  

•  $60\degree$  

•  $90\degree$  

•  $0\degree$  

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

 $\tan^{-1}\left(\sqrt{3}\right)$  

•  $45\degree$  

•  $60\degree$  

•  $30\degree$  

•  $0\degree$  

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

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

•  $45\degree$  

•  $60\degree$  

•  $30\degree$  

•  $0\degree$  

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

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

•  $30\degree$  

•  $60\degree$  

•  $\frac{1}{2}$  

•  $\frac{1}{4}$  

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

 $\tan\left(\sin^{-1}\left(\frac{1}{2}\right)\right)$  

•  $\sqrt{3}$  

•  $\frac{\sqrt{3}}{3}$  

•  $\frac{1}{2}$  

•  $1$  

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

 $\sin\left(\cos^{-1}\left(0\right)\right)$  

•  $0$  

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $1$  

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

 $\csc\left(\sin^{-1}\left(1\right)\right)$  

•  $1$  

•  $0$  

•  $90\degree$  

• undefined

Multiple Choice

Find the value of the following expression.  Assume that all angles are in Quadrant I.

 $\tan\left(\cos^{-1}\left(\frac{4}{5}\right)\right)$  

•  $\frac{4}{5}$  

•  $\frac{3}{4}$  

•  $\frac{5}{4}$  

•  $\frac{4}{3}$  

YEE-HAW!!!

Nice job! Check those answers and feel free to ask me questions about any of these problems.