Download Sections 4.2-4.4 Quiz B

Sections 4.2-4.4 Quiz (36 pts.)
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*****All trig ratios should be in fully simplified irrational form – No decimal approximations*****
*****Degree measures must have a degree symbol and trig functions must have an argument*****
Find the coordinates of the point  x, y  that correspond to where the given angle  intersects
the unit circle (1 pt. each):
1)
  210
2)
 
5
2
3)

13
4
4)
  300
Find the exact values of the six trigonometric functions of the angle  shown in the right triangle
below (4 pts.):
5)

15
11
The given point is on the terminal side of an angle in standard position. Determine the exact
values of the six trigonometric functions of the angle (4 pts.):
6)
 2,  3 
Find the exact values of the six trigonometric functions satisfying the given conditions (4 pts.):
7)
csc  
2 3
, cos   0
3
Evaluate (if possible) the six trigonometric functions of the real number (4 pts.):
8)

15
4
Use the given function value(s) and the trigonometric identities to find the indicated
trigonometric functions (4 pts.):
9)
sec   5 , tan   2 6
a)
cos
b)
cos   
c)
cot  90   
d)
sin 
Solve the following problems (4 pts. each):
10) A 50-meter line is used to tether a helium-filled balloon. Because of a breeze, the line makes an
angle of 0.5 radian with the ground. What is the height of the balloon? You may give a
decimal approximation for your answer.
11) In traveling across flat land you notice a mountain directly in front of you. Its angle of elevation
(to the peak) is 1.5 . After you drive 17 miles closer to the mountain, the angle of elevation is
6 . Approximate the height of the mountain.
Use a calculator to evaluate each function. Round your answers to the nearest thousandth. You
may use a decimal approximation for your answer (1 pt. each):
12) csc  13252'12"
 15 
13) tan 

 2 
14) cos 112.341
15) sec 17 