Pre-Calculus – 1st Six Weeks Review
Name ______________________________
Date ____________________ Period ____
Show work to receive credit. Round answers to 3 decimal places where appropriate.
Part 1 - Unit 1
Find the degree and radian measure of an angle after each rotation.
1.
2
7
rotation counter clockwise
2.
4 rotation clockwise
5
Name two coterminal angles. (One must be positive and one must be negative)
3.
-35°
4.
215°
Convert each degree measure into radian and revolution measure.
5.
215°
6.
-35°
Convert each radian measure into degree and revolution measure.
7.
-3 Π
8
8.
Convert decimal degree to degree minute seconds form.
9.
19.99°
10.
29.411°
6Π
11
Convert degree minute second form to decimal degree.
11.
98° 22′ 45″
13.
s denotes the length of the arc of a circle of radius r subtended by the central angle Ө. Find the missing
quantity, round answer to three decimal places.
r = 60 inches
12.
Ө = 60°
40° 10′
s=?
14.
A merry-go-round 40 feet in diameter makes four revolutions every minute. What is the speed of a seat
on the rim in feet per sec?
15.
From an observation point on Earth, the angle subtended by the sun 150,000,000 km away is about
0.0093 radians. Approximate the diameter of the sun by finding the length of the arc that is in bold print
in km’s.
16.
The wheel of a truck is turning a 6 rps (revolutions per second). The wheel is 4 feet in diameter. Find
the velocity of the truck in miles per hour.
17.
Calculate the velocity in miles per hour of a Ferris wheel 250 feet in diameter that takes 45 seconds to
rotate once.
Part II – Unit 2
18.
19.
20.
In what quadrant(s) is?
a) cos  0 and sin   0
21.
b) cot   0 and sec  0
Find the value of the following.
c) csc  0 and sec  0
22.

For each find the co-terminal angle and the six trig functions.
Co-terminal
Sin 
angle (between
0 and 360)
Cos 
Tan 
Csc 
-45°
480°
-60°
600°
23. Know the Unit Circle and the 6 trig functions for each angle.
Sec 
Cot 