Trig Values
Trig Equations
Trig Modeling
Polar Functions
??????
100
cos(0)=?
1
100
Solve for all x in the domain 0<=theta<=2pi.
cos(theta)=0
theta=pi/2 and {3pi}/2
100
A ferris wheel with diameter 80 feet takes 15 minutes to complete one full revolution. The function f(t)=asin(b(t-c)+d can be used to model the height of one cart of the ferris wheel above the ground over time.
What is the value of a in this function?
40
100
What are the polar coordinates of this point?
(2,pi/3)
100
What room are we in?
M212
200
sin(pi/6)=?
1/2
200
Solve for all theta in the domain 0<=theta<=2pi.
2costheta-5=-7
theta=pi
200
A ferris wheel with diameter 80 feet takes 15 minutes to complete one full revolution. The function f(t)=asin(b(t-c)+d can be used to model the height of one cart of the ferris wheel above the ground over time.
What is the value of b in this function?
{2pi}/15
200
Give the polar coordinates of this point assuming that
-infty<r<=0
and
-2pi<=theta<=0
(-1,-{5pi}/6)
200
Who is credited with inventing the rectangular coordinate system?
René Descartes
300
cos(\frac{5pi}{4})=?
-sqrt2/2
300
Solve for all theta in the domain 0<=theta<=2pi.
0=4sin^2theta-3
theta=pi/3, {2pi}/3, {4pi}/3, {5pi}/3
300
Write the equation of the sine function below.
f(x)=2sin(x-pi/4)+1
300
What is the equation of this polar function?
r=3costheta
300
What day is the AP Precalculus Exam?
May 13
400
tan(-pi/3)=?
-sqrt3
400
Solve for all theta in the domain 0<=theta<=2pi.
0=5+7costheta
theta=arccos(-5/7) and 2pi-arccos(-5/7)
400
Write the equation of the cosine function below.
f(x)=cos(pi/2(x-1))
400
What is the equation of this polar function?
r=2sin(3theta)
400
What are the first names of all the math teachers at VAPA? (8 teachers)
Pedro, Nathan, Katherine, Kelvin, Jesus, Luis, Nenita, Jasmine
500
sin(\frac{5pi}{12})=?
\frac{sqrt2+sqrt6}{4}
500
Solve for all theta in the domain 0<=theta<=2pi.
cos(arcsin(x))=1/2
x=sqrt3/2 or -sqrt3/2
500
A spring attached to a wall oscillates back and forth without friction. When the spring is fully compressed, the end of the spring is 0.5 feet from the wall. When the spring is fully extended, the end of the spring is 1.5 feet from the wall. It takes 1 second for the spring to go from its fully compressed position to its fully extended position. At time t=0, the spring is fully compressed.
Write the equation of a cosine function that could model the distance D(t), in feet, of the end of the spring from the wall as a function of time t, in seconds.
-0.5cos(pit)+1
500
Consider the polar function r=f(theta)=-2+4costheta on the interval ({2pi}/3,pi)
1. Is f(theta) positive or negative?
2. Is f(theta) increasing or decreasing?
3. Is the distance between f(theta) and the origin increasing or decreasing?
Negative
Decreasing
Increasing
500
What day did Mr. Ng get married?
July 18, 2024