Unit Circle Basics

Stand up and spin $\frac{17\pi}{4}$  radians. How many times did you spin around? 

• 1.125 times

• 2.125 times

• 2.25 times

• 4.125 times

• 4.25 times

Tags

CCSS.HSF.TF.A.1

Which quadrant would contain the angle 5 radians?

• 1

• 2

• 3

• 4

Which of the following angles are coterminal (equivalent) to

 $113\degree$  ?

•  $-113\degree$  

•  $473\degree$  

•  $-607\degree$  

•  $1193\degree$  

•  $-227\degree$  

How many degrees is

 $\frac{59\pi}{90}$  radians? 

Tags

CCSS.HSF.TF.A.1

Which of these angles are coterminal (equivalent) to  $\frac{5\pi}{6}$  

•  $\frac{17\pi}{6}$  

•  $-\frac{7\pi}{6}$  

•  $145\degree$  

•  $-210\degree$  

•  $-\frac{19\pi}{6}$  

Which quadrant would contain the angle $2021\degree?$  

• 1

• 2

• 3

• 4

Which of the following are congruent to

 $2700\degree$ 

•  $13\pi$  

•  $14\pi$  

•  $15\pi$  

•  $16\pi$  

•  $\frac{3\pi}{2}$  

What are the measures of the interior angles of an equilateral triangle in radians?

• $\frac{\pi}{8}$

• $\frac{3\pi}{8}$

•  $\frac{\pi}{3}$ 

• $\frac{7\pi}{4}$

To understand the UC, we need to be able to convert between radians and degrees and recognize coterminal angles. How do you feel about performing those calculations?

• I can do this faster than Austin can factor quadratics! (it is very easy for me)

• I can do this faster than Mr. Sheffert can factor quadratics! (it is fairly easy for me. I know what I'm doing but I'll get the answer wrong around 10% of the time)

• It takes me a while to remember how to convert the degrees. Finding the co-terminal angles is also somewhat tough.

• I am slower than an opossum trying to factor quadratics (converting between radians and degrees is impossible. Also what is a circle.)

In which of the quadrants is sin(x) positive?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

Tags

CCSS.HSF.TF.A.2