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Consider an angle that measures 5pi/4 radians.

Asketch the angle in standard position
Bdetermine two co-terminal angles(one positive and one negative)
CConvert the angle to degree measure

Please explain because I'm really confused

Verified Answer :

bcalle
AI can't graph it for you but hopefully my explanation will help.
a) 5pi/4 is pi/4 past the 180 degrees (which is 4pi/4). You would graph a 45 degree angle in quadrant III. This is 5pi/4.
b) To get Co-Terminal angles, if you're working in radians you add or subtract 2pi radians. The reason you do 2pi rad. is because a full revolution of the circle has a circumference of 2pi rad.
5pi/4 + 2pi = 5pi/4 + 8pi/4 = 13pi/4
5pu/4 - 2pi = 5pi/4 - 8pi/4 = -3pi/4
c) To convert radians to degrees multiply by the conversion factor 180/pi.
5pi/4 * 180/pi = 900/4 = 225 degrees
ALSO from the graph in 'a', since we are drawing a 45 degrees angle past 180 we can just do 180 + 45 = 225 degrees.

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