Reference Angles
Conversions
Arc Length
Determine the Value
100
What is the reference angle for 125°?
55°
100
Convert 90° into radians
pi/2
100
Find the value of S
pi
100
WITHOUT A CALCULATOR: what is the value of
cos(2pi)
1
200
What is the reference angle for 226°?
46°
200
Convert 30° into radians
pi/6
200
Find the missing angle
(2pi)/3
200
WITHOUT A CALCULATOR: What is the value of cos(120°)
-1/2
300
What is the reference angle for 325°?
35°
300
Convert 225° into radians
(5pi)/4
300
The tip of a clock's minute hand, measuring 5 inches, travels a distance of 8 inches. What angle does the clock's hand pass through? Be sure to specify units.
8/5 radians or 1.6 radians
300
WITHOUT A CALCULATOR: What is the value of sin(300°) in exact form?
-sqrt3/2
400
What is the reference angle for 70°?
70°
400
Convert into degrees:
(3pi)/2
270°
400
A pendulum measuring 4 inches swings through an arc of .5 radians. What is the distance the tip of the pendulum traveled?
2 inches
400
Given the function f(x)=4cos(x), what is the value of f(240°)?
-2
500
What is the reference angle of
(7pi)/4
pi/4
500
Convert to degrees:
(11pi)/6
330°
500
Find the length PQ
3pi
500
The terminal ray of an angle, x, falls in quadrant III. If sin(x)= -3/5, what is the value of cos(x)?
-4/5