7-1

One can measure angles in either degrees or radians. It really depends on whether the problem states it in degrees>0>degrees or rads>0>rads

1) Breaking a problem into degrees, minutes, and seconds

If one is converting degrees to minutes, all of the numbers that are behind the decimal have to multiplied by 60
-If one is converting degrees to seconds, all of the numbers that are behind the decimal have to multiplied by 60. 
-If one is to convert minutes and seconds back to degrees, then use the following equation: 

degrees+ (min/60)+ (sec/3600)

Ex 1: Convert 76.43 degrees to degrees, minutes, and seconds.

a) .43 X 60 = 25.8'
b) .8 X 60 = 48"
answer = 76 degrees 25' 48"

2) Converting from degrees to radians and radians to degrees

-To convert degrees to radians: degree(times)(pi/180)

-To convert from radians to degrees: radianspi (times)180/pi)

*pi will cancel out

Ex 2: Convert 235 degrees to radians.

a) 235 X (pi/180)

answer = (47/36)pi

-Sameer