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=8, #theta=120^circ#?

1 Answer
sankarankalyanam
Mar 6, 2018

Coordinates of #color(blue)(A (-4, 4 sqrt3)#

Explanation:

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#120^@# is in second quadrant

#A_x = bar(OA) * cos theta = 8 * cos 120 = 8 * (- cos (60)) = 8 * -(1/2) = -4#

#color(blue)(A_x = -4)#

#A_y = bar(OA) * sin theta = 8 * sin 120 = 8 * sin 60 = 8 * (sqrt3/2)#

#color(blue)(A_y = 4 sqrt3#

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