Algebra 2 Intensified
Review for Ch 13 Test
Name______________________
Date ______________ Pd_____
Part 1 – No Calculator
Directions: Sketch each angle and find its reference angle:
1.
2.
3.
5
3
200o
135o
5.
4.
6.
 3
4
5
6
-315o
Directions: Find one angle w/ positive measure & one angle with negative measure coterminal w/ each angle:
7. 205o
10.
4
3
8. -40o
11.
 7
4
9. -370o
12.
5
4
Directions: Find the exact values of each trig function:
13. tan 135o
14. cot 210o
15. cos 405o
16. sin
æ 3p ö
17. csc ç - ÷
è 4 ø
5
3
18. sec (-30o)
Directions: Find all values of  in the interval 0 £ q < 2p
19. tan  = 0
22. sin  =
 3
2
20. cos  =
1
2
21. cot  is undefined
23. sec  is undefined
24. csc  =
2 3
3
Part 2 - Calculator
Directions: Write an equation involving sin, cos, or tan that can be used to find x. Then solve the equation.
Round side lengths to the nearest tenth and angle measures to the nearest degree.
25.
26.
27.
Directions: Draw a right triangle ABC, with the right angle at C. Then solve the triangle.
28. a=4, b=7
29. A=17o, c=3.2
Directions: Find the area of triangle ABC to the nearest tenth.
30. C=148o, a=10, b=7
31. B=93o, c=18mi, a=42mi
Directions: Determine whether each triangle should be solved by the Law of Sines or the Law of Cosines.
Then solve each triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree.
(Check whether there are two solutions).
32. A = 78o, a=8, b=5
33. A = 133o, a=9, b=7
34. A = 82o, a=9, b=12
35. b=7.6, c=14.1, A=29o
36. A = 36o, a=6, b=8
37. a=11, b=13, c=15
Directions: Rewrite degree measures in radians and each radian measure in degrees:
7
0
38. 255
39.  2100
40.
41.  4
4
Directions: Find the exact values of the six trig functions of  if the terminal side of  in standard position
contains the given point:
42. (-2, -5)
43. (15, -8)
Directions: For the following problems, determine which quadrant the angle  must lie in and find the other
trig ratio:
44. tan  =
3
, sin  < 0. Find cos  .
4
46. csc  = 3, cot  < 0. Find cos  .
45. sec  > 0, tan   1 Find sin  .
47. sin  =
2
, tan  < 0. Find sec  .
3