Special angles/Unit circle

Special angles/Unit circle

Multiple Choice

What is the exact value of

 $\sin\left(30\degree\right)$  

•  $\sqrt{3}$  

•  $\frac{1}{2}$  

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{\sqrt{3}}{2}$  

Multiple Choice

What is the exact value of

 $\cos\left(60\degree\right)\$  ?

•  $\frac{1}{2}$  

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $\sqrt{3}$  

Multiple Choice

What is the exact value of

 $\sin\left(60\degree\right)?$  

•  $\frac{1}{2}$  

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $\sqrt{3}$  

Multiple Choice

What is the exact value of

 $\cos\left(45\degree\right)$  ?

•  $\frac{\sqrt{3}}{3}$  

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $1$  

Multiple Choice

What is the exact value of

 $\tan\left(60\degree\right)$  ?

•  $\frac{\sqrt{3}}{3}$  

•  $\sqrt{2}$  

•  $\sqrt{3}$  

•  $1$  

Multiple Choice

In which quadrants is

 $\sin\left(\theta\degree\right)$  positive ?

• the 1st and the 3rd quadrants

• the 1st and the 2nd quadrants

• the 1st and the 4th quadrants

• the 2nd and the 3rd quadrants

Multiple Choice

In which quadrants is

 $\cos\left(\theta\degree\right)$  positive ?

• the 1st and the 3rd quadrants

• the 1st and the 2rd quadrants

• the 1st and the 4th quadrants

• the 2nd and the 3rd quadrants

Multiple Choice

In which quadrants is

 $\tan\left(\theta\degree\right)$  positive ?

• the 2nd and the 3rd quadrants

• the 1st and the 3rd quadrants

• the 1st and the 4th quadrants

• the 2nd and the 4th quadrants

Multiple Choice

What is the reference angle for

 $135\degree$  ?

•  $55\degree$  

•  $45\degree$  

•  $75\degree$  

•  $135\degree$  

Multiple Choice

What is the reference angle for

 $-30\degree$  ?

•  $150\degree$  

•  $30\degree$  

•  $60\degree$  

•  $50\degree$  

Multiple Choice

In which quadrant is

 $-300\degree$  ?

• Quadrant 1

• Quadrant 2 

• Quadrant 3

• Quadrant 4

Multiple Choice

In which quadrant is

 $-870\degree$  ?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

Multiple Choice

What is the reference angle for

 $-405\degree$  ?

•  $135\degree$  

•  $45\degree$  

•  $60\degree$  

•  $30\degree$  

Multiple Choice

What is the exact value of

 $\cos\left(315\degree\right)$  ?

•  $\frac{1}{2}$  

•  $-\frac{1}{2}$  

•  $\frac{\sqrt{2}}{2}$  

•  $-\frac{\sqrt{2}}{2}$  

Multiple Choice

 If

 $\sin\left(\theta\degree\right)=\frac{1}{2}\ and\ \cos\left(\theta\degree\right)<0,$  what is the smallest possible value of  $\theta\degree$  ?

•  $60\degree$  

•  $150\degree$  

•  $210\degree$  

•  $330\degree$  

Multiple Choice

 $If\ \tan\left(\theta\degree\right)=\sqrt{3}\ and\ 90\degree<\theta\degree<360\degree,$  what is the value of  $\sin\left(\theta\degree\right)$  ?

•  $\frac{1}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $-\frac{\sqrt{3}}{2}$  

•  $-\frac{1}{2}$