Values on the Unit Circle
Trig Definitions
Graphing Sine and Cosine
Potpourri
100
What the x-coordinate on the unit circle when theta=pi
-1
100
This function outputs the y-coordinate on the unit circle
Sine
100
What function is graphed here:
Cosine
100
What is the period of this function?
6
200
What is the value of sin((7pi)/4)
-sqrt(2)/2
200
The cosine function outputs what value on the unit circle?
the x-coordinate
200
What function is graphed here:
Sine
200
Can you list two other angles that have the same location on the unit circle as -(3pi)/2
pi/2, (5pi)/2, -(7pi)/2 others possible
300
What is the value of cos((15pi)/6)
0
300
This is the input interval over which a functions outputs exactly repeat
The Period
300
Which of the following is not the same for the graphs of sine and cosine
a) midline
b) maximum and minimums
c) Initial Value
d) Period
c) Initial Value
300
If cos(theta)=-(sqrt3)/2 what are the two possible values of sin(theta) ?
1/2 and -1/2
400
what is the y coordinate on the unit circle if
theta=(-2pi)/3
-sqrt(3)/2
400
This function gives you the slope of the line on the unit circle
tangent
400
What is the period of the graphs of sine and cosine?
2pi
400
If sin(theta)=.4 , and the point is in quadrant 2, what is the value of cos(theta) ?
-sqrt(1-.4^2) or -sqrt(.84)
500
What is the value of tan(-5pi)
0
500
What is the Pythagorean Identity
(sin(theta))^2+(cos(theta))^2=1
500
Can you name one real thing that could be modelled by the graph of a sine wave?
answers will vary: any circular motion works!
500
If the center of the wheel is at (0,0) and the wheel has a radius of 8, what is the y-coordinate of point p after the wheel rotates (7pi)/6 clockwise?
4