Periodic Functions
The Unit Circle And Radians
Sine And Cosine
SAT Prep - ALL WORTH 300
SAT Prep - ALL WORTH 500
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
Line L is graphed in the XY plane. If L is translated up 5 units and right 7 units, what is the slope of the new line?
m=-3/2
100
The mean number of students per classroom, y, at Central High School can be estimated using the equation
y=0.8636x+27.227
where x represents the number of years since 2004 and x is less than or equal to 10.
What is the meaning of the number 0.8636?
The estimated yearly increase in the mean number of students.
The slope of the graph.
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
If
(2/(a-1))=4/y
where y does not equal 0 and a does not equal 1 what is y in terms of a?
y=2a-2
200
If a>0, what is the value of a+7, given the equation below?
a^2 +14a=51
a+7=10
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
Rewrite the following equation as a complex number:
(14-2i)(7+12i)
122+154i
300
1/2x-1/4y=5
and
ax-3y=20
If these equations have no solution, what is the value of a?
a=6
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
Solve for k in the following equation:
(5(k+2)-7)/6=(13-(4-k))/9
k= 9/13
400
Anise needs to complete a printing job using both of the printers in her office. One of the printers is twice as fast as the other, and together the printers can complete the job in 5 hours. The equation below represents the situation described.
1/x+2/x=1/5
What does the expression 1/x represent in this equation?
The portion of the job that the slower printer would complete in one hour
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
If
1/2x+1/3y=4
is true, what is the value of
3x+2y
24
500
What is one possible solution to the following equation?
(24/(x+1))-(12/(x-1))=1
x=5 or x=7