Unit 2 Test Review #2
Trig/PCalc
Page 1 of 1
Directions: Please do all work on a separate piece of paper. Box or highlight your answer. Staple this
worksheet with your work when turning in assignment.
For #1 – 6, match the value of each Trigonometric
Function in Column I with its value from Column II.
Column I
1.) cot 30°
Column II
3
a.
2.) tan 45º
b. 1
3.) csc 45°
c.
4.) cos 60º
5.) sin 60°
1
2
3
d.
2
2 3
e.
3
f.
3
3
For #18 – 20, determine whether each statement is
true or false. Provide proof or a mathematical reason.
18.)
cos 30° + cos 60° = cos (30º + 60°)
19.)
cot 60º = 2cot 30°
20.)
tan2 45º + 1 = sec2 45º
For # 21 – 23, use the calculator to evaluate each
expression.
21.)
 sec100 sec80  csc100 csc80
g. 2
h.
2
2
i.
2
6.) sec 30º
For # 7, suppose that ABC is a right triangle with
sides a, b and c with the right angle at C. Find the
unknown side length using the Pythagorean Theorem.
7.) a = 14 , b = 39
For # 8 – 10, write each function in terms of its
cofunction.
8.)
tan 73°
9.)
csc (θ + 15°)
10.)
sin 25.4º
For # 11-13 determine whether each statement is true.
11.)
sin 150° > cos 30°
12.)
sin 56º < cos 36º
13.)
tan 114º < cot 114°
For #14-17, find the exact values of the six
trigonometric functions of for each angle. Rationalize
the denominators when necessary.
14.)
570°
15.)
585°
16.)
-150°
17.)
-660°
22.)
23.)
cos 75 cos15  sin15 sin 75
2sin 37 30'cos37 30' sin 75
24.)
A plane flies for 1.3 hours at 100 mph
on a bearing of 38.0 . It then turns and flies
2.5 hr at the same speed on a bearing of
128.0 . How far is the plane from its starting
point?
25.)
A ship travels 50 km on a bearing of
27.0 then travels on a bearing of 117.0 for
205 km. Find the distance traveled from the
starting point to the ending point.
26.)
The bearing from Charlotte, NC to
Kingsville, VA is N 42.0 E . The bearing
from Kingsville to Glorianna, NC is S 48.0 E .
A car driven by Mario Jetta, traveling 75 mph
takes 1.2 hr to go from Charlotte to Kingsville
and 3.8 hr to go from Kingsville to Glorianna.
Find the distance from Charolette to
Glorianna.