Unit Circle
Sin and Cos Equations
Sin and Cos Graphs
Other Graphs
Spongebob Trivia
100
If
cos(theta)=-1/sqrt5 and sin(theta)=-2/sqrt5
What quadrant is theta in?
Quadrant 3
100
Find the amplitude of the function
-5sin(2x)+3
amplitude = 5
100
Identify the midline and amplitude of the graph below
midline: y=2
amplitude: 4
100
Write out the ratio (opposite, adjacent, hypotenuse)
for sin(x) and cot(x).
sin(x)=opp/hyp
cot(x)=adj/opp
100
Where does SpongeBob work?
The Krusty Krab
200
If
cos(theta)=-1/sqrt5 and sin(theta)=-2/sqrt5
Find
cos(2pi+theta)
-1/sqrt5
200
Find the range of the function
-5sin(2x)+4
[-1,9]
or
-1leyle9
200
Identify the amplitude and period of the graph below
amplitude: 3
period: pi
200
Write out the ratio (opposite, adjacent, hypotenuse)
for cos(x) and tan(x).
cos(x)=adj/hyp
tan(x)=opp/adj
200
Who runs the boating school that SpongeBob attends?
Mrs. Puff
300
If
cos(theta)=-1/sqrt5 and sin(theta)=-2/sqrt5
Find
cot (theta)
1/2
300
Find the period of the function
5sin(3(x))-2
2pi/3
300
Write an equation to model the graph
y=5cos(2x)+1
300
What feature of a graph comes from having 0 in the denominator?
Vertical Asymptotes
300
What is Plankton’s first name?
Sheldon
400
If
cos(theta)=-1/sqrt5 and sin(theta)=-2/sqrt5
Find
csc(theta+pi)
2/sqrt5
400
Find the period of the function
5sin(4/3pi(x))-2
3/2
400
Write an equation to model the graph
2.5cos(4/3x)-2.5
400
Fill in the blank with the correct trig function
tan(x) has asymptotes when _____ = 0.
cos(x)
400
Who is Mermaid Man's sidekick?
Barnacle Boy
500
If
cos(theta)=-1/sqrt5 and sin(theta)=-2/sqrt5
Find
sec(pi-theta)
sqrt5/1
500
Identify at least 1 x-intercept of the function
4\cos(2x)
pi/4 , (3pi)/4, (5pi)/4, ...
500
Write one sin and one cos function to model the graph
y=3sin(2x)
or
3cos(2(x-pi/4))
500
Fill in the blank with the correct trig function
csc(x) has the same asymptotes as _____ .
cot(x)
*Because they have the same denominator
500
What is the name of Plankton's super computer wife?
Karen