Chapter 5 Review Sheet #2
Pre-Calc
Name: ________________________________
IF each angle below is in standard position with the given measure in which quadrant does the terminal
side lie?
1.)
8
3
2.) 420°
3.)
7
8
Change each to radian measure in terms of π.

4.) 150°
5.) -315°

Change each to degree measure
6.)
5
12
7.)
4
3
8.) Change 100°22’5” to degree measure to the nearest thousandth.


9.) Now change #8 to radian measure.
Find the reference angle for each angle given.
10.)
7
12
11.) 405°
12.)
4 
3
Given the measure of the central angle, find the length of the intercepted arc in a circle of radius 15 cm.


Give your answers in terms of π and as a decimal.
13.)

5
14.) 150°
15.) Find the degree measure, to the nearest tenth, of the central angle whose intercepted arc measures 18 inches

in a circle of radius 10 inches.
Find the area, to the nearest tenth, of a sector of a circle define by the given central angle if the radius of
the circle is 4 cm.
16.)
3
4
17.) 100°
2 2
and the terminal side of the angle lies in Quadrant IV. Find the values of the five
3
other trig functions.
 Suppose sin θ =
18.)

Find the exact value of the following “special angles” without using a calculator.
19.) cos
3
4
20.) tan
7
3
21.) csc 120°
22.) cot 315°
Use a calculator to approximate each to four decimal places. Watch you calculator mode!

2
23.) tan
7

24.) sec 105°
25.) sin 7
52°

26.) Solve the right triangle to the right. Round angle measure to the nearest degree
and side measure to the nearest tenth.
4
Use the Law of Sines to determine the number of solutions to each ΔABC described. Then solve #29 only.
Find each angle to the nearest minute and each side to the nearest tenth.
27.) ΔABC if A = 120°, a = 6, and b = 9
28.) ΔABC if A = 38°42’, a = 172, and b = 203
29.) ΔABC if A = 45°, a = 83, and b = 79
Use the Law of Cosines to solve each ΔABC described. Find each angle to the nearest degree and side to
the nearest tenth.
30.) A = 63 °, b = 20, c = 14
31.) a = 11, b = 13, c = 20
Find the area of each ΔABC described to the nearest tenth.
32.) A = 20°, a = 19, C = 64°
33.) a = 5, b = 7, c = 9
34.) a = 11.7, b = 13.5, C = 81°20’
35.) Find the area of a circular segment to the nearest tenth if the measure of its central angle is
measure of its radius is 15 units.
5
and the
6

36.) Find the area of a circular segment to the nearest tenth if the measure of its central angle is 81° and the
measure of its radius is 16 units.