Download Circular Trig WS 6

Scholarship Algebra II
Circular Trig Worksheet #6
The Other Trig Functions
Name ____________________________________
Answer all questions on a separate sheet of paper. Show work and provide sketches where necessary.
Find the value to four decimal places using your calculator.
1. tan 132°
5. cot 247.3°
9. tan 5.87R
2. sec 305°
6. csc 289.7°
10. csc 6.02R
3. csc 213°
7. sec 2.46R
11. cot 3.5R
4. tan 325°
8. cot 3.75R
12. sec 0.74R
Find ∝ to the nearest tenth of a degree so that 0°≤∝≤90°
13. tan ∝ = 1.904
16. tan ∝ = 5.000
14. sec ∝ = 1.080
17. sec ∝ = 1.271
15. csc ∝ = 1.313
18. cot ∝ = 4. 372
Find ∝ to the nearest tenth of a degree so that ∝ lies in the given quadrant
19. IV: tan ∝ = -0.7265
22. II: cot ∝ = -0.3899
20. II: csc ∝ = 1.244
23. IV: csc ∝ = -2.572
21. III: sec ∝ = -1.108
24. III: tan ∝ = 8.000
Find the values of all six trigonometric functions of the angle whose terminal side passes through the given
point. Give all answers as reduced fractions in simplified radical form.
25. (6, -8)
26. (-5, 12)
27. (0, -3)
29. (-2, 0)
30. (3, 6)
31. 2 6, 5


28. (-7, -24)

32. 4, 2 5

Find the values of the other five trigonometric functions of ∝ having the given information. Give all answers
as reduced fractions in simplified radical form.
3
; QIV
2
3
36. sec   
; QIII
2 2
33. sin   
1
39. tan   ; QIII
5
1
; QIII
2
7
37. csc  
; QII
15
3 5
; QII
40. cot   
2
34. sin   
5
; QII
3
2
38. cos  
; QIV
13
35. sin  