Download Pre-Calculus/Trig 3

Pre-Calculus/Trig 3
4.1 – 4.4 Warm Up
Name __________________________________
Sketch the following in standard position.
Convert to the opposite units.

3. 42o
4. 
9
Determine the quadrant the angle is in.
5. – 4
Then determine the reference angle.
1.
3
4
2. –520o
Find a positive and negative coterminal
angle for each of the following.

6. 420O
7. 
4
Quadrant
Quadrant
Ref. Angle
Ref. Angle
8. Find the arc length and the area of the sector.  = 60o, r = 3in.
3
in Quad II, find the
2
state the six trig ratios.
10. Given that cot θ = 
9. Given the point (6, -8)
values of the six trig function.
sinθ =
cscθ =
sinθ =
cscθ =
cosθ =
secθ =
cosθ =
secθ =
tanθ =
cotθ =
tanθ =
cotθ =
Use a calculator to find each value: (round to 3 decimal places if necessary)

11. cos45o
12. cot
13. sin – 270o
3
14. sec 

2
Pre-Calculus/Trig 3
4.1 – 4.4 Test Review
Name __________________________________
Sketch the following in standard position.
Determine the quadrant the angle lies in (if it is on an axis, state which axis it is on and if it is + or – axis)
Then determine the reference angle.
1.
2
5
23
4
2. –95o
3.
Quadrant
Quadrant
Quadrant
Quadrant
Ref. Angle
Ref. Angle
Ref. Angle
Ref. Angle
Convert the following from degrees to radians.
5. –224o
6. 750o
4. 10
Convert the following from radians to degrees.
8
7. 5
8. 
3
Find a positive and negative coterminal angle for each of the following.

14
9. 225o
10.
11. 
9
5
12.
12
5
13. Find the arc length and the area of the sector given: r = 5cm and  = 42o.
14. Find the angle of the sector given d = 13mm and s = 27 mm. Then determine the area of the sector.
The terminal side of the angle contains the following point.
Find the values of the six trigonometric functions for the following points.
15. (4, -4)
16. (-3,4)
sinθ =
cscθ =
sinθ =
cscθ =
cosθ =
secθ =
cosθ =
secθ =
tanθ =
cotθ =
tanθ =
cotθ =
Given the following, state the six trigonometric ratios.
17
17. sec =  , Quad III
8
18. tan  =
3
, Quad I
3
sinθ =
cscθ =
sinθ =
cscθ =
cosθ =
secθ =
cosθ =
secθ =
tanθ =
cotθ =
tanθ =
cotθ =
Use a calculator to find each value: (round to 3 decimal places if necessary)
19. sin 81o
20. tan - 135o
22. sec –270o
23. cot
3
4
21. cos
4
9
24. cot 90o
Find the exact value of each trigonometric function. (NO Calculator!)
25. cos 240o
28. sin
26. csc 330o
10
3
29. tan
27. sec -2
7
4
30. cot
Solve for the angle given the trig function and its value. (NO Calculator)
 3
3
31. sin  
1
2
32. tan  
33. cos 2  
1
2
34. sec  

2