Trigonometry – Trigonometry, Foerster 3rd Edition
TrigSem1Review 1 11/10/2018
Do Not Write
on this
Worksheet
Chapter 1 Review:
Convert the angle measure to degrees, rounded to two decimal places.
1)
5454
2)
21245
3)
038185
Convert each angle to Degrees Minutes Seconds (
SMD
).
4)
355.72
5)
715.35
Determine the coterminal angle of the given angle, and find its reference angle. Draw the angle,
marking the coterminal and reference angles.
6)
487
7)
795
8)
3
14
9)
6
41
Evaluate (find the exact value).
10)
4
5
sin
11)
tan
12)
6
5
sec
13)
240cos
14)
315cot
15)
120csc
Find the exact values of the six trigonometric functions of angle
θ
whose terminal side passes
through the given point.
16)
5
4
,
5
3
17)
17
15
,
17
8
18)
13
12
,
13
5
19) Find the exact values of the six trigonometric functions of angle
given
terminates in Quadrant III and
.
3
1
cos
20) Evaluate (find the exact value)
.60sin60cot135tan60sec
21) Sketch a right triangle with an acute angle of
.28
If the hypotenuse is 46 inches long, how long is the side
opposite the
28
angle? Round your answer to two decimal places.
22) A right triangle has legs 31 inches and 42 inches. What is the measure of the larger acute angle, correct to the
nearest minute?
23) Suppose there is a 457-meter tall tower in Redlands that casts a shadow 1050 meters long on the ground at a
certain time of day. What is the angle of elevation of the sun at that time of day?
Use your calculator to determine the following angles to two decimal places. Watch the mode.
24)
)5937.0(sin 1
25)
)3281.1(tanx 1
Chapter 2 Review:
Convert each angle to radian measure. Convert each angle to degrees.
Show your work. Show your work.
26)
140
27)
425
28)
3
4
29)
8
11
Find the exact values of the given expressions.
30)
6
5
cos
4
3
tan
31)
6
11
csc
32)
4
cos
6
7
sin 22
Find the amplitude, period, phase displacement, and vertical displacement. Then use this
information to find critical points and draw the graph of the given function.
33)
)x2(sin3y
34)
3
2
cos
2
1
y
35)
)10(5sin42y
36)
)1x(
12
cos53y
Trig Semester 1 Review
