The Unit Circle

What is the exact value of  $\cos\ 150\degree$  ?

•  $\frac{\sqrt{3}}{2}$  

•  $\frac{1}{2}$  

•  $-\frac{\sqrt{3}}{2}$  

•  $-\frac{1}{2}$  

Tags

CCSS.HSF.TF.A.2

If  $\sin\ \theta>0$  and  $\tan\ \theta>0$  , which quadrant does the terminal side of  $\theta$  lie in?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

Tags

CCSS.HSF.TF.A.2

What is the exact value of  $\tan\ \frac{5\pi}{3}$  ?

•  $\sqrt{3}$  

•  $-1$  

•  $-\sqrt{3}$  

•  $-\frac{\sqrt{3}}{3}$  

• None of the Above

For which of the following angles is $\tan\ \theta$  positive? (mark all that apply)

•  $30\degree$  

•  $-\frac{2\pi}{3}$  

•  $\frac{11\pi}{6}$  

•  $150\degree$  

•  $\frac{5\pi}{4}$  

Tags

CCSS.HSF.TF.A.2

What is the exact value of  $\sec\ 240\degree$  ?

•  $\frac{1}{2}$  

•  $-\frac{2\sqrt{3}}{3}$  

•  $-2$  

•  $\frac{\sqrt{3}}{2}$  

•  $2$  

Tags

CCSS.HSF.TF.A.2

Which of the following values is undefined? (mark all that apply)

• $\cot\ \frac{\pi}{2}$

• $\csc\ \pi$

• $\tan\ 270\degree$

• $\csc\ \frac{3\pi}{2}$

• $\sec\ 360\degree$

Tags

CCSS.HSF.TF.A.2

Which of the following is NOT true about Quadrant 4?

• The terminal side of $-60\degree$ will fall in this Quadrant.

• The terminal side of $\frac{11\pi}{6}$ will fall in this Quadrant.

• The cosecant of any angle in this Quadrant is positive.

• The tangent of any angle in this Quadrant is negative.

• None of the above (they are all True

Tags

CCSS.HSF.TF.A.2

If $\cos\ \theta\ =\frac{\sqrt{3}}{2}$ , then what are the possible values of  $\theta$ contained on the unit circle ? (Mark all that apply)

•  $330\degree$  

•  $\frac{2\pi}{3}$  

•  $\frac{\pi}{6}$  

•  $150\degree$  

•  $\frac{7\pi}{6}$  

Tags

CCSS.HSF.TF.A.2

Evaluate $\cot\ \frac{3\pi}{4}$ 

•  $-1$  

•  $1$  

•  $-\sqrt{3}$  

•  $-\frac{\sqrt{3}}{3}$  

Tags

CCSS.HSF.TF.A.2