Devin's Reflection

TRIGONOMETRY

Angles

• measured in degrees
• to find minutes, multiply what is behind the decimal by 60
• to find seconds, multiply what is behind the decimal by 0 and divide by 300 to get decimal
• angles are measured in degrees and radian

radians = degrees times pi over 180

degrees = radians times 180 over pi

• to find coterminal angles, add or subtract 360 degrees or 2 pi
• must use degrees symbol if in degree or its wrong

if no degree symbol, its assumed that you are in radians

EG: 12.3 degrees... write as t

12 degrees .3 times 60

12 degrees 1.8 minutes

15.36 degrees

15 degrees .36 times 60

15 degrees 21 minutes .6 times 60

15 degrees 21 minutes 36 seconds

25 degrees 20 minutes 6 seconds

25 plus 20 divided by 60 plus 6 divided by 3600

25.335 degrees

15 degrees 26 minutes 15 seconds

15 plus 26 divided by 60 plus 15 divided by 3600

15.4375 degrees

36 degrees

36 divided by 180 pi

1/5 pi

pi/5

3 pi/4 times 180/pi

135 degrees

225 degrees

225 divided by 180 pi

5/4 pi

pi/9 times 80 divided by pi

20 degrees

2.4 times 180 divided by pi

137 degrees 30 minutes 35.535 seconds

245 degrees 15 minutes 300 seconds

2445 plus 15 divided by 60 plus 300 divided by 3600

245.3 degrees