Periodic Functions
The Unit Circle And Radians
Sine And Cosine
Tangent
Trigonometric Relationships
100
What is the period of the following function:
P=2
100
How many radians are 90 degrees?
r=pi/2
100
What is sin of 0 degrees?
What is cos of 0 degrees?
sin 0 = 0
cos 0 = 1
100
What is the period for the function tanθ
π units
100
tanθ in terms of sine and cosine
sinθ/cosθ
200
Assuming the pattern continues, what is the period of this function?
P=11
200
How many degrees is
(3pi)/2 radians
D=270 degrees
200
What is sin of pi?
sinpi=0
200
What is the start and end of the cycle closest to the origin for the function tanθ
-π/2 to π/2
200
Secθ in terms of cosine
1/cosθ
300
What is the AMPLITUDE of the following function?
A=0.5
300
What is the diameter of the unit circle?
D=2
300
What is cos of pi?
cospi=1
300
How many cycles of tanθ are there from 0 to 2π
2
300
Cscθ in terms of sine
1/sinθ
400
What is the period and amplitude of a sin function?
A=1
P=2pi
400
What is 45 degrees in radians?
r=(pi/4)
400
What is the sin of 45 degrees (or pi/4 radians)?
sin(pi/4)=(sqrt2/2)
400
FREE POINTS!
FREE POINTS!
400
cotθ in terms of sine and cosine
cosθ/sinθ
500
What is the period and amplitude of a cos function?
A=1
p=2pi
500
What is 150 degrees in radians?
r=(5pi)/6
500
What is the cos of pi/3 radians (or 60 degrees)?
cos(pi/3)=1/2
500
On the unit circle which values of tanθ are undefined?
tan(π/2) and tan(3π/2)
500
Describe the relationship between the graphs of sine and cosine
The cosine graph is the sine graph phase shifted ℼ /2