MI 4
Trig Quiz 1
Name __________________
Show your work clearly to receive full credit:
Solve each triangle. That is, find all missing angles and sides. If there are two solutions, be sure
to indicate which sides and angles go together to form each triangle. To help visualize the
situation, you may want to draw a figure. Round final answers to one decimal place.
1.
In QRS , mQ  53.1 , q  160.1, and r  178.6 .
2.
In ABC , mA  35 , a  13, and c  9 .
3.
Solve (round answers to 2 decimal places e.g.   3.14 :
cos(3x   )  .7 for x for 

2
 x 
MI 4
4.
Trig Quiz 1
Name __________________
Carissa wishes to measure the distance across the crocodile infested swamp behind IMSA.
Since she cannot drive across the swamp, she takes John Jaegers’ car and drives toward one
end. As she faces the swamp, she turns and drives 4.3 km across land. After turning 43o
counterclockwise, she travels 15.7 km. Then she turns 55o counterclockwise and travels an
additional 3.3 km, at which time she arrives at a point at the opposite end of the swamp,
directly across from where she started. How wide is the swamp?
3.3
4.3
15.7
55
o
43 o
5. Simplify each of the following. Your final answer should be exact and should not involve a
trig function.
a. cos1 (cos( )) 

  
b. cos 1  cos    
13




 15  
c. cos 1  cos 
 
 13  
