Degrees vs. Radians
120Β°
2π /3
What angle between 0Β° and 360Β° is coterminal with 540Β°?
180Β°
The circle with center at the origin and radius 1 unit.
Unit circle
cos(180Β°)
-1
What Halloween Candy is Orange, Yellow, White?
Candy Corn
-90Β°
-π /2
What angle between 0Β° and 360Β° is coterminal with -920Β°?
160Β°
sinπ³ / cos π³
tan π³
tan(225Β°)
1
What important day is this Sunday?
All Saints Day
7π /6
210Β°
What is the reference angle for π³ = 70Β°?
70Β°
The acute angle between the terminal side and the x-axis
Reference Angle
sin(11π /6)
-1/2
How far does the tip of an 8 inch minute hand move around a clock in 15 minutes? Round to the nearest tenth.
12.6 inches
-3π /2
-270Β°
What is the reference angle for π³ = 310Β°?
50Β°
A position in which an angle is placed with the initial side along the positive x-axis and the vertex at the origin
Standard position
tan(-7π /4)
1
I picked a perfectly round pumpkin from the patch this year that is 32 inches in diameter. I want to carve two eyes and a mouth in it, and I want the mouth to be 8 inches long. What central angle, to the nearest degree, is formed from the point on one end of the mouth to the other?
29 degrees
4
229Β°
What is the reference angle for π³ = 8π /7?
π /7
Two angles whose terminal sides in standard position fall in the same place
Coterminal angles
cos(π /4) + tan(π /3)
1+β3
A cart, positioned 20 feet from the center of a ferris wheel, spins at a rate of 3 revolutions per minute. What is the linear speed of the cart, to the nearest foot?
377 feet per minute