Test 3 Review
Problem 1
is an acute angle of a right triangle and tan  
Find sin  and sec  .
5 3
.
3
1
Problem 2
Triangle ABC is a right triangle and C is the right angle. AB = 11 and AC = 10.
Find the third side.
Find tan B
Find sec A
2
Popper 12, Question 1
3
Problem 3
A toy truck has wheels with a 9 inch radius. The rate of turn when Mikey is riding is 7
revs per second.
How fast is the truck moving in units of inches/second?
How fast are the wheels turning in units of radians/second?
4
Popper 12, Question 2
5
Problem 4
If is in degrees then the area of a sector can be found using
A

360
 r2
If  = 120 and r = 6 cm, what is the area of this sector?
Problem 5
Convert:
2
9
72
6
Popper 12, Question 3
7
Evaluate:
sin(
17
)
3
sin(
11
)
6
cos(90)
tan(
3
)
2
8
Find three coterminal angles (2 +, 1 )

7
9
130
9
Popper 12, Question 4
10
Problem 6
cos(cos1 (6))
tan 1 ( 1)
3
sec(sin 1 ( ))
7
11
Popper 12, Question 5
12
Problem 7
Given:
t 
f ( x )  6sin(  )  2
5 10
Amplitude
Vertical dilation
Vertical shift
Horizontal shift
Period
Horizontal
stretch
compress
13
Popper 12, Question 6
14
Problem 8
The frulap, in squishes, through the dablog at time t has this formula
F (t )  6sin(5t 

3
)2
What is/are
Amplitude
Period
Horizontal shift
Popper 12, Question 7
15
Problem 9
Write the formula of the cosine function that has a vertical dilation of 6, a horizontal shift
of 5 to the left, a vertical shift of 5 up, and a period of 4
16
Problem 10
What is the formula for:

The point is ( , 3)
9
17
Popper 12, Question 8
18
Problem 11
Graph y = 5 sin (3x) for one period.
Domain and range
3 x-intercepts
Max/min
19
Graph y = 5 tan (2x) for one period
Domain and Range
x-intercept
Asymptotes
20
Popper 12, Question 9
21
Hints
14 MC – 5 points each
03 FR – 10 points each
20 minutes
20 minutes
10 minutes to check your work
22
Popper 12, Question 10
23