Download Exam 1 Fall 2013 Rocket Number INSTRUCTIONS

MATH-1330
Exam 1
Fall 2013
Name __________________________________
Rocket Number __________________________
INSTRUCTIONS: You must show enough work to justify your answer on ALL problems. Correct answers
with no work (or inconsistent work) shown will not receive full credit. All answers are to be exact; no
decimal approximations. You are NOT allowed to use any electronic device for this exam.
1.
For each of the following angles, indicate where the terminal side of the angle is located. Then find the
reference angle and the exact value of the indicated trigonometric function for the angle. (5 pts. each)
a.

b.
c.
11
6
11
= _______
6
11
________________
6
 ' = ______
cot
  180
Location of 180 ________________
 ' = _______
csc 180 = _______
   240
Location of  240 ________________
 ' = _______
sin (  240 ) = _______
Location of
2.
Find the angle between 0 and 2  that is coterminal with the angle 140  and then find the exact value of
140 
. Show how you get your coterminal angle. (6 pts.)
sec
3
Coterminal angle _______
3.
140 
= _______
3
Find the angle between  2  and 0 that is coterminal with the angle  119  and then find the exact value
 119 
of tan  
4

4

 . Show how you get your coterminal angle. (6 pts.)

Coterminal angle _______
4.
sec
3
 119  
tan  
 = _______
4 

Find the angle between 0 and 360 that is coterminal with the angle 1290 and then find the exact value of
cos 1290 . Show how you get your coterminal angle. (5 pts.)
Coterminal angle _______
cos 1290 = _______
5.
Find what quadrant the angle    230 is in. Then find the reference angle of the angle. You need to
show your work for finding the reference angle. (5 pts.)
The angle    230 is in the ___________ quadrant and the reference angle is ___________.
6.
Find what quadrant the angle   39  is in. Then find the reference angle of the angle. You need to show
22
your work for finding the reference angle. (5 pts.)
The angle   39  is in the ___________ quadrant and the reference angle is ___________.
22
7.
Convert the following angles to degrees if it is given in radians or to radians if it is given in degrees.
(5 pts. each)
a.
  324
Answer ________
b.
  2
Answer ________
c.
  
17 
36
Answer ________
8.
If tan   0 and csc   0 , then  lies in which quadrant? (5 pts.)
Answer _______
9.
If the terminal side of  passes through the point (  8 ,  5 ) , then find the exact value of sin  and cot  .
(8 pts.)
sin  = ________
10.
If the terminal side of  is in the II quadrant and lies on the line 14 x  6 y  0 , find the exact value of
tan  and sec  . (10 pts.)
tan  = ________
11.
cot  = ________
Given:
sec  = ________
5
Find the exact value of

9
a. tan  = ________
(3 pts.)
b. sin  = ________
(3 pts.)
12.
Use a right triangle to find the exact value of csc  and cos  if cot   
quadrant. (10 pts.)
csc  = _______
cos  = ________
15
7
and  is in the IV