4.2- 4.4 Precal Quiz

Given that

 $\tan\theta=2$ is in Quadrant I (a drawing on your paper is required).  Find the EXACT VALUE for  $\csc\theta=$  

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $\frac{\sqrt{5}}{2}$  

• 1

Given that
 $\tan\theta=4$ , is in Quadrant III (a drawing on your paper is required.  Find the EXACT VALUE  for  $\sin\theta$   

•  $\frac{-4\sqrt{17}}{17}$  

•  $\frac{-4}{17}$  

•  $\frac{-\sqrt{17}}{17}$  

•  $\frac{4\sqrt{17}}{17}$  

Given that $\cot\theta=2$  is in Quadrant IV (a drawing on your paper is required).   Find the EXACT VALUE for  $\cos\theta$  

•  $\frac{\sqrt{2}}{5}$  

•  $\frac{2\sqrt{5}}{5}$  

•  $\frac{2\sqrt{3}}{5}$  

•  $\frac{-2\sqrt{3}}{5}$  

Given that $\cot\theta=8\$  is in Quadrant I (a drawing is required).  Find the EXACT VALUE for  $\sec\theta$  

•  $\frac{\sqrt{7}}{65}$  

•  $\frac{\sqrt{65}}{8}$  

•  $\frac{1}{8}$  

•  $\frac{8}{65}$  

Use the unit circle to find the exact value of $\cos\left(3\pi\right)$  

•  $\frac{1}{2}$  

•  $-\frac{1}{2}$  

• 1

• -1

Use the unit circle to find the exact value of $\csc\left(\frac{5}{2}\pi\right)$  

•  $-\sqrt{3}$  

•  $\sqrt{3}$  

• -1

• 1

Use the unit circle to find the exact value of $\cot\left(210\degree\right)$ 

•  $\sqrt{3}$  

•  $-\sqrt{3}$  

• 1

• -1

Determine which quadrant is where $\tan>0\ and\ \csc\theta>0$  

• I

• II

• III

• IV

Determine which quadrant is where $\cot\theta>0\ and\ \cos\theta<0$  

• I

• II

• III

• IV

For the given point: (-7, 24) on the terminal side of angle θ find sin θ.

•  $\frac{24}{25}$  

•  $\frac{25}{24}$  

•  $\frac{-7}{25}$  

•  $\frac{-25}{7}$