All Things Unit Circle

What is the length of the arc formed by a 70 degree angle of a circle with a radius of 18ft?

• 113 ft

• 7 ft

• 22 ft

• 25 ft

Convert to radians:  $145\degree$  

•  $\frac{9\pi}{12}$  

•  $\frac{29\pi}{36}$  

•  $\frac{5\pi}{4}$  

Tags

CCSS.HSF.TF.A.1

Convert to degrees $\frac{7\pi}{5}$  

• 252

• 196

• 150

• 260

Tags

CCSS.HSF.TF.A.1

An angle is in standard position when...

• the initial side is in the second quadrant

• the vertex is on the origin and the initial side is on the positive x-axis

• the vertex is on the origin and the initial side is on the y-axis

• when the terminal side is on the x-axis

Tags

CCSS.5.G.A.1

Which is an example of an angle in QIII

• $82\degree$

• $\frac{2\pi}{3}$

• $\frac{5\pi}{4}$

• $310\degree$

Which represents $210\degree$  ?

• 
• 
• 

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

Which angle is coterminal to $72\degree$  ?

•  $790\degree$  

•  $432\degree$  

•  $-289\degree$  

•  $60\degree$  

The reference angle for an angle of $132\degree$  is...

•  $68\degree$  

•  $28\degree$  

•  $48\degree$  

•  $85\degree$  

What is the coordinate point at  $225\degree$  on the unit circle?

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

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

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

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

Tags

CCSS.HSF.TF.A.2

True or False: Only the cosine trig function is positive in QII

• True

• False

Tags

CCSS.HSF.TF.A.2