HPC 4.7-4.8 test review Period 1

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

•  $\frac{\pi}{2}$  

•  $\frac{\pi}{4}$  

•  $\frac{\pi}{6}$  

•  $-\frac{\pi}{4}$  

What is the interval for the inverse sine function?

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

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

• $\left[0,\pi\right]$

• none of the above

What is the interval for the inverse cosine function?

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

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

• $\left[0,\pi\right]$

• none of the above

What is the interval for the inverse tangent function?

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

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

• $\left[0,\pi\right]$

• none of the above

 $\cos^{-1}\left(0\right)$  

•  $\frac{\pi}{2}$  

•  $\frac{\pi}{4}$  

•  $\frac{\pi}{6}$  

•  $-\frac{\pi}{4}$  

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

•  $\frac{\pi}{2}$  

•  $\frac{\pi}{4}$  

•  $\frac{\pi}{6}$  

•  $\frac{3\pi}{4}$  

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

If angle A = 21 degrees, angle C = 90 degrees and side c = 13 units then side b = ? Round to the nearest hundredths.

If angle A = 21 degrees, angle C = 90 degrees and side c = 13 units then side a = ? Round to the nearest hundredths.

The angle of elevation of a building from a point on the ground 30 yards away from its base is 37 degrees. Find the height of the building to the nearest yard.