10/26 - Unit 2 Extra Credit

1.    MGSE9-12.F.BF.4 Evaluate inverse of the given function (if it exists).
 $\sin^{-1}\left(\frac{1}{2}\right)$  

•  $\frac{\pi}{4}$  

•  $\frac{\pi}{6}$  

•  $\frac{\pi}{3}$  

• Does Not Exist

MGSE9-12.F.BF.4d In the given function, at which point does the y value not exist?   $y=\arccos\left(x\right)$  

•  $0$  

•  $\frac{\pi}{2}$  

•  $\pi$  

•  $-\frac{\pi}{2}$  

MGSE9-12.F.BF.4 Match the given graph with the correct equation.

• $\sin^{-1}\left(x\right)$

• $\arccos\left(x\right)$

• $\tan^{-1}\left(x\right)$

• $\cos^{-1}\left(x\right)$

MGSE9-12.F.TF.7 Given that John is 200 feet away from the Statue of Liberty. The high of the Statue of Liberty is 92 meters, which includes the pedestal of 46 meters. Calculate the angle of elevation that John is viewing the Statue of Liberty without pedestal?

• $15\degree$

• $30\degree$

• $24.70\degree$

• $46.60\degree$

MGSE9-12.F.BF.4d Which of the following graphs represent f(x) = tan^-1 x

• 
• 
• 
• 

MGSE9-12.F.BF.4 Evaluate inverse of the given function (if it exists).
 $\cos^{-1}\left(\frac{1}{2}\right)$  

•  $\frac{\pi}{4}$  

•  $\frac{\pi}{6}$  

•  $\frac{\pi}{3}$  

• Does Not Exist

MGSE9-12.F.BF.4d In the given function, find the exact value if it exist?

 $y=\arcsin^{-1}\left(-\frac{\sqrt{2}}{2}\right)$  

•  $-\frac{\pi}{4}$  

•  $\frac{\pi}{2}$  

•  $\pi$  

•  $-\frac{\pi}{2}$  

MGSE9-12.F.BF.4d Which equation is equivalent to 
        $y=\sin^{-1}\left(x\right)$ ?       $\left(-\frac{\pi}{2}\le x\le\frac{\pi}{2}\right)$  

•  $y=\sin\left(\frac{1}{x}\right)$  

•  $y=\frac{1}{\sin\left(x\right)}$  

•  $x=\sin y$  

•  $x=\frac{1}{\sin y}$  

MGSE9-12.F.TF.7 Given that John is feet away from the Big Ben Tower, which is the optimal distance away to view this feet tall monument. Calculate the angle of elevation that John is viewing the Big Ben Tower from?

• $15\degree$

• $30\degree$

• $45\degree$

• $60\degree$

Which is the principal value of sin^-1(1).

• $45\degree$

• $30\degree$

• $60\degree$

• $90\degree$