Download Mrs. Mistron Evaluate the six trig functions of the an

Name______________________________
Date: _________________ Block: _______
Mrs. Mistron
Evaluate the six trig functions of the angle  .
sin  
1.
4.
cos  
cos  
tan  
tan  
csc  
csc  
sec  
sec  
cot  
cot  
2.
sin  
5.
sin  
sin  
cos  
cos  
tan  
tan  
csc  
csc  
sec  
sec  
cot  
cot  
Let  be an acute angle of a right triangle. Find the values of the other five
trigonometric functions of  .
7. sin  
5
6
8. csc  
10
7
9. tan  
7
3
Find the exact values of x and y.
13.
14.
15.
Given the point on the terminal side of θ, evaluate the six trig functions of θ.
16.
8, 15
17.
 2,
 2
18.
 7,
Solve triangle ABC using the diagram and the given measurements.
16.
 24 
17. The Falls Incline Railway at Niagara Falls has an angle of elevation of 36º.
The railway extends a horizontal distance of about 138 feet. Find the height and
length of the railway tracks.
18. A passenger on an airplane sees two towns directly to the left of the plane.
(a) What is the distance d from the airplane to the first town?
(b) What is the horizontal distance x from the airplane to the first town?
(c) What is the distance y between the two towns?
19. You measure the angle of elevation from the ground to the top of a building
as 32º. When you move 50 meters closer to the building, the angle of elevation
is 53º. How high is the building?
Sketch the angle then find its reference angle.
1. 100
2. 150
3. 15
4. 320
5. 370
6. 600
8
3
7. 
5
6
8.
10. 
13
6
11. 
7
3
9.
15
4
12.
23
6
Find one positive and one negative angle that is coterminal with the given
angle.
13. 260
16.
9
2
14. 70
17.
 7
6
15. 820
18.
20
3
Convert the following angles from degrees to radians.
19. 40
20. 315
21. 260
22. 500
23. 270
24. 240
Convert the following angles from radians to degrees.


27. 5
25.
26. 
9
4
28. 
11
6