Download I II III IV

Name:___________________________
Date: ________
ROTATIONS AND ANGLES
INTRO TO COLLEGE MATH
Our study of trigonometry will concentrate on the relationship between rotations ( or angles ) and
lengths. This will help us by defining basic terminology and concept concerning angles.
II
Standard Position : an angle in standard position has
y
Terminal
Ray
its vertex at the origin and one ray ( called the initial ray )
at the positive x – axis.
I
Positive
rotation
x
Initial ray
Negative
rotation
IV
III
Exercise #1: On the following set of axes, write the positive and negative degree measures of
the 4 coordinate axes.
y
y
x
0°
x
0°
Name:___________________________
Date: ________
Exercise # 2: For each of the following angles, given by the Greek letter θ (theta), draw a
rotation diagram and identify what quadrant the terminal ray fall in.
a.) θ = 140°
b.) θ = 300°
c.) θ = 70°
d.) θ = - 200°
e.) θ = 220°
f.) θ = - 305°
g.) θ = 480°
h.) θ = - 330°
Exercise # 3: In which quadrant would the terminal ray of an angle drawn in standard position
fall of the angle measures 850°?
(1) I
(2) II
(3) III
(4) IV
Exercise # 4: Give a negative angle that has the same terminal ray (or is coterminal) with each
of the positive angles.
a.) Θ = 90°
b.) θ = 300°
c.) θ = 110°
d.) θ = 220°
Name:___________________________
Date: ________
ROTATIONS AND ANGLES DAY 1
INTRO TO COLLEGE MATH
1. For each of the following angles, draw a rotation diagram and state the quadrant the terminal
ray of the angle falls within.
2.
a.) Θ = 130°
b.) θ = 240°
c.) θ = - 100°
d.) θ = - 350°
e.) θ = 85°
f.) θ = 500°
Give a negative angle that has the same terminal ray ( is coterminal ) with the given angles.
a.) 100°
3.
b.) 230°
c.) 70°
d.) 235°
When drawn in standard position, which of the following angles is coterminal to one that
measures 130°?
(1) 430°
(2) 850°
(3) - 70°
(4) 730°
4. Which of the following angles, when drawn in standard position, would not be equivalent to
an angle that measures 270°?
(1) - 90°
(2) 990°
(3) 630°
(4) 720°