Download Chapter 6 Review for Test

Trig College Math
Review for Chapter 6 Test
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Name_______________________
Date________________Hr_____
5
1. Find the exact value for the five other trig functions if sec    and tan   0.
3
2. If sin  
2


and       use trigonometric identities to find cos  and csc2  .
3
2

Find two solutions of the equations.  0    2  . Give both answers in degrees and radians.
3. tan   
3
3
4. sin  
2
2
5. Find the exact values of the following:
a) sin 225
Simplify.
6. cos

2
 csc
b) tan

7. 2 cos
2
Find the exact value.
 2 
9. sin 

 3 
 3
12. cos 1 

 2 

6
2
3
 4sin
c) cos

3
e) sec 330

4
13. cos  tan 1 1
  
14. cos 1 sin 
  3


16. 6cos +2tan
6
3
b) cot 90
f) csc
4
 3 tan
11. sec 240
17. Find the exact value of the following:
sin 570

10. cos 405
15. 3 cos 60 -5 sin 45
a)
8. 4 cos
7
6
11
6
c) tan
7
4
d) sin-120
g) cos
11
6
h) tan 270



Use the given function value and trig identities (do not draw a triangle) to find the indicated trig
functions.
7


18. sec  
a) csc    
b) cos( )
c) tan 2 
2
5




19. If the point  7,3 is on the terminal side of the angle  , find the exact value of the six
trigonometric functions.
Find the following and graph. Be sure to label and plot points on your graph where appropriate.
20. y  tan  x
21. y  2sin( x   )
22. y  cos(2 x   )
period____________
amp _______
amp_________
consec. asymptotes __________
period______
period_______
starts_______
starts________
ends_______
ends________
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23. An amateur radio operator erects a 65-foot vertical tower for an antenna. Find the angle of
elevation to the top of the tower at a point on level ground 350 feet from its base.
24. A plane is flying at an altitude of 2000 feet. If the angle of depression is 10° from the plane to the
beginning of the runway, how far (horizontal distance) is the plane from the runway?
25. Your Frisbee has landed at the edge of the roof of your school building. When you are 28 feet
from the base of the building, the angle of elevation to your Frisbee is 22.5°. To the nearest
hundredth of a foot, how high off the ground is your Frisbee.
26. Evaluate
a) cos
7
9
b) arccos(0.352)
c) tan 1 (5.7)
d) sec70
27. Find two solutions of the equations.  0    2  . Give both answers in degrees and radians.
a) cos  0.309 b) sin   0.259
c) tan   1.6
d) csc  2.5875