Name: __________________________________________ Date: ____________________
1.2 Degrees, Minutes, Seconds and Coterminal Angles
 I can: convert to DMS (Degrees, Minutes, Seconds) or convert to decimals
 I can: list coterminal angles
A.
B.
Degree Measure
One FULL Rotation:
One HALF Rotation:
One Quarter Rotation:
a. Give one positive angle:
b. Give one negative angle:
c. Complementary Angles:
d. Supplementary angles:
________________________________
________________________________
________________________________
________________________________
Degrees, Minutes, and Seconds
Degrees are sometimes not exact enough. We can be more accurate by breaking degrees
down into ____________ and even more accurate by breaking minutes down into
____________.
1 minute = 1’ we use an ____________.
1’ =
of a degree.
1 second = 1” we use a ____________.
1” =
of a minute, or
of a degree.
12º42’38”
12 ________________, 42 _______________, and 38 ________________.
Convert from DMS to decimal degrees
23o15'25"
23o
15
60
25
3600
=
Convert from decimal degrees to DMS
15.97º = .97(60 mins) = 58.2 ; .2(60 secs)=12
15º 58’ 12”
Convert from decimal to DMS:
Convert from DMS to decimal:
1. 34.817º
4.
35o20'
2. 59.0854o
5.
74º 8’ 14”
3. 178.5994o
6.
123º 36’
Perform the operation and then convert to decimal.
7.
51º 29’ + 32º 46’
8.
90º – 73º 12’
C. Standard Position and Coterminal Angles
Coterminal angles: angles that have the same initial side and the same terminal
(________________) sides. Every angle has an ________________ number of coterminal angles.
Find the angles of the smallest possible positive measure coterminal with each angle.
1. 908º
2. -75º
3. 205º
4. 365º
Name: __________________________________________ Date: ____________________
Degrees, Minutes, Seconds and Coterminal Angles: Homework
1. Find the value.
2. Find the value.
3. Find the value.
4. Find the value.
5. Convert from DMS to decimal.
6. Convert from DMS to a decimal.
7. Convert to DMS. 114.26o
8. Convert to DMS. 17.825o
Find the smallest positive coterminal angle. Draw the original angle.
9.
425o
10. 700o
11. 1000o