Rational Functions
Angles & Unit Circle
Trig Functions
Trig Identities
Function Comp
Formulas & More
100
The asymptotes of
y=(x+3)/(x(x-4))
What is x=0, x=4, and y=0?
100
A 3rd Quadrant angle with the same sine value as 287 degrees.
What is 253 degrees?
100
Write a sine function with a vertical shift of 1, an amplitude of 3, and a period of pi.
What is
y=1+3sin(2x) ?
100
Simplify so there are no quotients:
tan(theta)*cos(theta)
What is
sintheta ?
100
Find f(g(3))
What is 5?
100
The quotients identities (2)
What are
tan theta=sin theta/costheta , cottheta=costheta/sin theta ?
200
The asymptotes of
y=(3x^2+4x)/(x+2)
What is
x=-2 , y=3x-2 ?
200
An angle coterminal to 317 degrees.
What is -43 degrees?
or
What is 677 degrees?
200
Write a cosine function with a reflection, a vertical shift of -3, and a period of 540.
What is
y=-3-cos(2/3 x) ?
200
Simplify so there are no quotients:
sec(theta)/tan(theta)
What is
csctheta ?
200
Find f(g-1(3))
What is 1?
200
The arc length formula.
What is
s=theta*r or s=theta/360*2pir ?
300
A rational function with a common linear factor in both the numerator and denominator has this feature.
What is a hole (or point of discontinuity)?
300
The exact values for theta (between 0 and 2pi) when
cos(theta)=1/2
What is
pi/3 and (5pi)/3 ?
300
Write a tangent function with a vertical shift of 2 and a period of 360.
What is
y=2+tan(1/2 x) ?
300
Simplify so there are no quotients:
(1-cos^2(theta))csc^2(theta)
What is 1?
300
Find f(g(x)) and its domain when
f(x)=x+2 and g(x)=sqrt(x-4)
Domain: [4, ∞)
f(g(x))=sqrt(x-4)+2
300
The domain of
f(x)=sqrt(x+3)/x
What is
[-3,0)∪(0,∞)
400
A rational function with a constant in the numerator is missing this feature.
What is an x-intercept?
400
The exact values for theta (between 0 and 2pi) when
sintheta=-sqrt3/2
What are
(4pi)/3 and (5pi)/3 ?
400
What is the equation of the following graph?
What is
y=1-cos(2x) ?
400
Simplify so there are no quotients:
cos^2theta(1-sec^2theta)
What is
-sin^2(theta) ?
400
Find f(g(x)) and its domain when
f(x)=x^2-3 and g(x)=sqrt(x+1)
Domain: [-1, ∞)
f(g(x))=x-2
400
Write the equation 
What is
y=|2cosx| ?
500
The intercepts of the rational function
y=((x-2)(x+4))/((x+4)(x+1))
What are
(2,0) and (0,-2)?
500
tan((5pi)/6)
What is
-sqrt3/3 ?
500
What is the equation of the following graph?
What is
y=1+2tan(1/2x) ?
500
Simplify so there are no quotients:
(1-cos^2(theta))/tan(theta)
What is
sin theta*costheta ?
500
Find f(f(x)) when
f(x)=x^2+1
What is
x^4+2x^2+2 ?
500
Write the equation.
What is
y=x+cosx ?