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=6, #theta=90^circ#?

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Answer 1 · 2018-03-06T13:18:12

Coordinates of #color(green)(A = (0,1)#

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Point A is in first quadrant as #theta# is #90^@#

Hence, both x , y coordinates are positive..

#A_x = bar(OA) cos theta = 6 * cos 90 = 25 * 0 = 0#

as #cos(90) = - 0#

#A_y = bar(OA) sin theta = 25 * sin 90 = 25 * 1 = 25#

as #sin(90) = 1#

#A_y = -25#

Coordinates of #color(green)(A = (0,1)#