Angle Measure Worksheet With Answers - Section 6.1 Page 3

ADVERTISEMENT

EXAMPLE:
(a) Find angles that are coterminal with the angle θ = 30
in standard position.
π
(b) Find angles that are coterminal with the angle θ =
in standard position.
3
Solution:
(a) To find positive angles that are coterminal with θ, we add any multiple of 360
to 30
. Thus
30
+ 360
= 390
,
30
+ 720
= 750
,
etc.
are coterminal with θ = 30
. To find negative angles that are coterminal with θ, we subtract
any multiple of 360
from 30
. Thus
30
360
=
330
,
30
720
=
690
,
etc.
are coterminal with θ.
(b) To find positive angles that are coterminal with θ, we add any multiple of 2π to π/3. Thus
π
π
13π
+ 2π =
,
+ 4π =
,
etc.
3
3
3
3
are coterminal with θ = π/3. To find negative angles that are coterminal with θ, we subtract
any multiple of 2π from π/3. Thus
π
π
11π
2π =
,
4π =
,
etc.
3
3
3
3
are coterminal with θ.
EXAMPLE:
(a) Find angles that are coterminal with the angle θ = 62
in standard position.
(b) Find angles that are coterminal with the angle θ =
in standard position.
6
3

ADVERTISEMENT

00 votes

Related Articles

Related forms

Related Categories

Parent category: Education
Go
Page of 10