Download CP Algebra II 4/23/15 Name: Chapter 12 Review Find the exact

CP Algebra II 4/23/15
Chapter 12 Review
Name: ________________
1. Find the exact value of each trigonometric ratio. (No Calculator)

5
sin
cos
a.
b.
2
6
c.
tan

4
d.
csc300ϋ
e.
tan120ϋ
f.
sec270ϋ
g.
cos
h.
tan
4
3
2. For each angle:
i. Draw the angle in standard position.
ii. Find 2 coterminal angles.
iii. Find the reference angle.
a.
220ϋ
b.
190ϋ
c.
7
9
d.
5
3
3. Convert from radians to degrees or degrees to radians.
7
a. 135˚
b. 4
c.
6

d. 300˚
4. The terminal side of angle  in standard position contains the point (-27, 36). Find all six
trigonometric values for  . Leave answers as exact values.
5. In a right triangle, angle B is acute. Find the remaining trigonometric functions if you know that
11
the sin B  .
61

6. Given

2
    and sin  
4
, find tan .
5
7. In ABC , C is a right angle, side a = 7, and side b = 5. Find all missing angles and sides.


8. A pigeon is sitting at the top of a lamppost that is 11 feet tall. The pigeon spots a crumb on the
ground that is 8 feet away from the base of the lamppost.
a. Draw a picture.
b. What is the angle of depression from the bird to the crumb?
c. How far does the bird have to fly from the lamppost to the crumb?
9. While visiting Paris, Jacob becomes curious about the height of the Eiffel Tower. Standing at point A
he measures the angle of elevation to the top of the tower to be 36˚. He moves to point B (143m closer
to the tower) and measures the angle of elevation to be 48˚. Disregarding Jacob’s height, calculate the
height of the Eiffel Tower.
10. Find c.
11. Find x.
12. Find the area of the triangle in problem 11.
13. Find x.
14. Find the missing angle. Hint: How many solutions?
15. Graph each function.
a.

2 
y  3sin  2 
1
3 

b.
y  2cos

4
  3 4


y  2 tan      1
4

c.
16. Write an equation for each graph.
a.
b.
c.