Radians
Degrees
CoTerminal Angles
Reference Points
Reference Angles
100
How many degrees is the following Radian measurement?
pi/3
60 degrees
100
What is the Radian measurement of the following degree:
45 degrees
pi/4
100
Find an angle that is a positive coterminal angle to 130 degrees.
490 degrees, 850 degrees, etc.
100
What quadrant would the point (5, -3) land on?
Quadrant 4
100
What is a Reference Angle in your own words?
This is an angle that is between the x-axis and the terminal side of a Degree/Radian.
200
How many degrees is the following Radian Measurement?
(4pi)/6
120 degrees
200
Convert the following into Radians?
210 degrees
(7pi)/6
200
Find a negative coterminal angle to 315 degrees.
-45 degrees, -405 degrees, etc.
200
What is the length of the side that is highlighted of the image below?
-5
200
What is the reference Angle of the following image:
45 degrees
300
How many degrees is the following Radian Measurement?
(-7pi)/12
-105 degrees
300
Convert the following degrees into Radians:
-216 degrees
(-6pi)/5
300
Prove or disprove the following claim:
125 degrees and 305 degrees are coterminal angles.
They are not. [125 + 180 = 305]
300
What is the length of the side that is highlighted in the image below:
sqrt(50)
5sqrt(2)
300
What is the reference angles of the following image:
45 degrees
400
Suppose an airplane is traveling in a circle around an airport to make an emergency landing. If the airplane 1,000 feet from the airport in radius, and has traveled 30 degrees north of the airport, how far has the airplane traveled since it started circling around the airport?
523.6 feet
400
How many degrees makes up a
11/12
rotation?
330 degrees
400
Prove or disprove the following claim:
-250 degrees and 775 degrees are coterminal angles.
True. [-250 + 360 + 360 = 775]
400
What is the
sin(theta)
of the image below?
(5)/(5sqrt(2) , sqrt(2)/2
1/(sqrt(2)
400
What is
cos(300)
equal to?
1/2
500
Suppose that Mr. Herrada is driving on a roundabout. If he went
5/6
of a rotation, how many radians did he travel?
(5pi)/3
500
Suppose an airplane is traveling in a circle around an airport to make an emergency landing. If the airplane is 2,0000 feet away from the airport, and has traveled 3-5ths of a rotation around, how far has the plane traveled so far?
7,536 feet
500
What is the value of
sin((3pi)/4)
?
sqrt(2)/2 , 1/(sqrt(2)