Download Pre-Calculus/Trig3

Pre-Calculus/Trig3
Review Chapter 4.1-4.4
Names
Block
Date
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.
4. 660°
Quadrant
Quadrant
Quadrant
Quadrant
Ref. Angle
Ref. Angle
Ref. Angle
Ref. Angle
Determine the measurement of the angle that is drawn.
5.
6.
Convert the following from degrees to radians.
Convert the following from radians to degrees.
5
8
9.
10. 
4
3
7. –224o
8. 750o
Find a positive and negative coterminal angle for each of the following.

14
11. 225o
12.
13. 
9
5
14.
12
5
15. Find the arc length and the area of the sector given: r = 5cm and  = 45o.
16. Find the angle of the sector given d = 14 mm and s = 27 mm. Then determine the area of the sector.
Write the (x , y) coordinates of the following angles. Then find the exact value.
17. cos 240o
18. csc 330o
19. sec -2
20. sin
Find the values of  in both degrees and radians given the following information.
2
21. sin  =
22. tan  = 1
2
10
3
23. sec  = 
The terminal side of the angle contains the following point.
Find the values of the six trigonometric functions for the following points.
24. (4, -4)
25. (0, -7)
sinθ =
cscθ =
sinθ =
cscθ =
cosθ =
secθ =
cosθ =
secθ =
tanθ =
cotθ =
tanθ =
cotθ =
Given the following, state the six trigonometric ratios.
17
26. sec =  , Quad III
8
27. 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 2 decimal places if necessary)
28. sin 81o
29. tan - 135o
31. sec –270o
32. cot
3
4
30. cos
4
9
33. cot 90o