Trigonometry – Trigonometry, Foerster 3rd Edition
Sem1Rev1 11/10/2018
Do Not Write
on this
Worksheet
Semester 1 Final: Review 1
Determine the coterminal angle and the reference angle for each given angle.
1)
313
2)
130
3)
702
4)
6
29
Find the exact value of the following:
5)
)120cos(
6)
)270csc(
7)
)90sec(
8)
3
sec
4
5
tan2
9)
4
5
cos
4
sin
10)
)(cot
11)
3
sec2
12)
)180cos()330sec()135sin()240tan(
Use your calculator to find the following. Round to two decimal places.
13)
)163cos(
14)
)237sin(
15)
)319tan(
16)
7
3
sin
17)
5
6
cot
Find the missing value, x or
θ
.
18) 19) 20)
21) Which trigonometric function represents the slope of the terminal side of an angle?
22) The terminal side of
passes through
).5,13(
Find
)(sin
and
).(sec
23) The terminal side of
passes through
).12,5(
Find
)(cot
and
).(csc
Solve for
θ
.
24)
)1(sin 1
25)
2
3
cos
26)
2)sec(
Name the quadrants in which
θ
may be located.
27)
5
3
cos
28)
3
4
tan
29)
3
2
sin
30) An observer at the top of a 60 foot tower sees his friend on the ground at an angle of depression of
.223
How far away is the friend from the base of the tower?
31) A 16 foot ladder is placed against a wall so that the top of the ladder is 12 feet above the ground. What angle
does the ladder make with the ground (i.e., what’s the angle of elevation)?
32) A right triangle has a hypotenuse 11.5 cm long and one leg 8.3 cm long. Find the smaller acute angle.
33) A tree casts a shadow of 17 feet on the ground. The angle of elevation is
.53
Find the height of the tree.
Change to radians. Change to degrees.
34)
240
35)
600
36)
90
37)
30
38)
3
2
39)
6
7
40)
4
9
41) 1 degree is equivalent to how many radians?
42) 1 radian is equivalent to how many degrees?
x
13
7
24
8
3
4
30