Sunday, March 25, 2012

Review degrees, radians, coterminal angels

Degrees is the form of numbers sometimes used in trigomonmetry. Degrees can be broken down inot minutes (') and seconds (")
1.To convert to minutes you take what is behind the decimal and multiply by 60.
2.To convert to seconds you take what is behind the decimal in new number and multiply by 60. (This only happens if there is another decimal. Sometimes there is not)

*To convert minutes and seconds back to degrees use formula
# + minutes/60 + seconds/3600

Radians are the perffered way to measure angles. All formulas require radians.
1.To convert degrees to radians use formula #*pi/180

*To convert radians back to degrees use formula Radians*180/pi

Coterminal angles are like non-reduced fractions. It is a more simple or more complicated name for an angle.
1.Add or subtract 36o n = coterminal angle (n can be any whole #)
2. For radians add or subtract 2pi n = coterminal angle (n can be any whole #)

Ex1
Convert 16.33 to degrees minutes and seconds
.33*60=19.8
.8*60=48
16degrees 19' 48"

Ex2
Convert 60 degrees to radians
60/180 = 1/3 = pi/3
Put pi because when using formula it belongs there.

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