How do you write in simplest radical form the coordinates of point A if A is on the terminal side of angle in standard position whose degree measure is #theta#: OA=0.5, #theta=180^circ#?

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Answer 1 · 2018-04-07T19:10:12

#A(-0.5,sqrt3/2)#

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#x#-coordinate of point #A# is #=OA=0.5#

#y#-coordinate of point #A# is #AB#

#cos/_AOB=(OA)/(OB)=0.5/1=0.5#

#/_AOB=arccos(0.5)=pi/3#

#sin/_AOB=(AB)/(OB)=(AB)/1=AB#

#sin(pi/3)=sqrt3/2#

#AB=sqrt3/2#

Therefore,

#A(-0.5,sqrt3/2)#