Chapter 3 Review
The LOTTERY!!!
1
Question #1

Find the exact
value of s, given
3
cos s 
; on [0, ]
2 Answer

6
Question #2

Find the exact
value of s, given
3

sin s 
, on [ ,  ]
2
2
Answer
2
3
2
Question #3

Find the exact
value of s, given
cos s  
2
3
on [ , ]
2
2
Answer
5
4
Question #4

Find the exact
value of s, given
csc s  2 on [ ,
3
]
2
Answer
7
6
3
Question #5

Find the exact
value for
5
sin
3 Answer
3

2
Question #6

Find the exact
value for
3
cot
4 Answer
1
4
Question #7

Find the exact
value of s, given

tan s  0 on [0, ]
2
Answer
0
Question #8

Find the exact
value of
11
sin
6
Answer

1
2
5
Question #9

Find the exact
value of
2
csc
3
Answer
2 3
3
Question #10

Find the exact
value for
4
tan
3
Answer
3
3
6
Question #11

Convert to radians 135 degrees.
Answer
3
4
7
Question #12

A central angle of a circle, with
radius of 300 km, intercepts an arc
of 450 km. Find the measure of the
angle to the nearest DEGREE.
Answer
860
Question #13

Find the distance in kilometers
between two cities that lie on a
north – south line that are on
latitudes of 42 degrees NORTH
and 14 degrees SOUTH
respectively. Remember, the
radius of the earth is 6400
kilometers.
Answer
6255 km
8
Question #14

Through how many radians will
the hour hand on a clock rotate
in 24 hours?
Answer
4
Question #15

Convert to radians, 122
degrees.
Answer
61
90
9
Question #16

The radius of a circle is 15 km.
Find the length of an arc of the
circle intercepted by a central
angle of 135 degrees.
Answer
35 km
Question #17

Find the area of a sector of a
circle having a central angle of
22 degrees in a circle of radius
38 km.
Answer
554 km
10
Question #18

Convert to the nearest tenth of a
radian 457.6 degrees.
Answer
8.0 radians
Question #19

Convert to
degrees
11
9
Answer
2200
11
Question #20

The distance to the moon is
approximately 148,446 km from the
earths surface to the center of the
moon. A radar detects the top of the
moon at an angle of elevation of
0.517 DEGREES. What is the
distance between the line that
represents the distance from the
earth to the moon intersects the
moon to the top of the moon?
2104 km
Question #21

Convert to
degrees
22
36
Answer
550
12
Question #22

Two radii of a circle form a
central angle that is 128
degrees. If the length of a
radius is 18 km, what is the
AREA of the sector that these
two radii form?
Answer
724 km
Question #23

Convert to
degrees

18
Answer
100
13
Question #24

Two cities lie on a north – south
line. If one city is 28 degrees
north and the second city is 13
degrees north, what is the
distance between the two cities?
Remember, the radius of the
earth is 6400 kilometers.
Answer
1676 km
14