Sec. 13-2
Angles of Rotation
An angle is in _____________________________ when its ___________ is at the
origin and one ray is on the ________________ x-axis.
The ____________________ of the angle is the ray on the x-axis. The other ray is
called the ____________________ of the angle.
An ____________________________ is formed by rotating the terminal side and
keeping the ____________________ in place.
If the terminal side is rotated __________________________, the angle of rotation is
________________.
If terminal side is rotated ______________________, the angle of rotation is
negative.
A 360o rotation is a complete rotation.
A 180o rotation is one-half a complete rotation.
Ex. 1 Drawing Angles in Standard Position
Draw an angle with the given measure in standard position.
A.
300o
B.
-150o
C.
900o
Coterminal angles are angles in __________________________ with the same
_________________________.
Ex. 120o and -240o are coterminal.
There are infinitely many coterminal angles. One way to find the measure of angle
that is coterminal with angle 0 is to _______ or _____________integer multiples of
360o.
Ex. 2 Finding Coterminal Angles
Find the measures of a positive angle and a negative angle that are coterminal with
each given angle.
A.
0 = 40o
B.
0 = 380o
For an _____________ in standard position, the _____________________is the
positive ___________ acute formed by the terminal side of 0 and the x-axis.
Ex. 3 Finding Reference Angles
Find the measure of the reference angle for each given angle.
A.
0 = 150o
B.
0 = -130o
C.
0 = 280o
To determine the value of the trig. Functions for an angle 0 in standard position, begin
by selecting a point P with coordinates _______________ on the terminal side of the
angle.
The distance ______from point ________ to the origin is given by ______________
Sin 0 =
Cos 0 =
Tan 0 =
Ex. 4 Finding Values of Trig. Functions
P(4, -5) is a point on the terminal side of 0 in standard position. Find the exact value
of the six trigonometric functions for 0.