Unit circle practice

Identify the Positive angle in both radians and degrees that represent point H.

• $150\degree,\ \frac{5\pi}{6}$

• $135\degree,\ \frac{3\pi}{4}$

• $180\degree,\ \pi$

• $210\degree,\ \frac{7\pi}{6}$

Identify the Positive angle in both radians and degrees that represent point D.

•  $60\degree,\ \frac{\pi}{3}$ 

•  $45\degree,\ \frac{\pi}{4}$ 

•  $-60\degree,\ -\frac{\pi}{3}$ 

•  $90\degree,\ \frac{\pi}{2}$ 

Identify the Positive angle in both radians and degrees that represent point L.

•  $240\degree,\ \frac{4\pi}{3}$ 

•  $225\degree,\ \frac{5\pi}{4}$ 

•  $-60\degree,\ -\frac{\pi}{3}$ 

•  $270\degree,\ \frac{3\pi}{2}$ 

Identify the Positive angle in both radians and degrees that represent point I.

•  $180\degree,\ \pi$ 

•  $210\degree,\ \frac{7\pi}{6}$ 

•  $150\degree,\ \frac{5\pi}{6}$ 

•  $360\degree,\ 2\pi$ 

sinθ is positive in

• the 1st and 2nd quadrants
• the 1st and 3rd quadrants
• the 1st and 4th quadrants
• the 2nd and 3rd quadrants

Place the radian measures in the correct spots

a

b

c

d

Convert 150⁰ to radians

• 5π/6
• 3π/4
• 7π/6
• 2π/3

What is 7π/4 radians in degrees?

• 300
• 135
• 315
• 45

sinθ is positive in

• the 1st and 2nd quadrants
• the 1st and 3rd quadrants
• the 1st and 4th quadrants
• the 2nd and 3rd quadrants

cosθ is positive in

• the 1st and 2nd quadrants
• the 1st and 3rd quadrants
• the 1st and 4th quadrants
• the 2nd and 3rd quadrants