SOLUTION: The terminal side of an angle is standard position intersects the unit circle at the point (.28,-.96) Find to the nearest degree the smallest positive measure of the angle

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Question 935415: The terminal side of an angle is standard position intersects the unit circle at the point (.28,-.96)
Find to the nearest degree the smallest positive measure of the angle

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
tanA = x/|y|
tanA = .28/|-.96|
tanA = 0.28/0.96
A = atan( 0.28/0.96 )
A = 0.283794109208 radians
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the terminal side is in the third quadrant, so add (3/2)pi radians:
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angle = 0.283794109208 + (3/2)*3.1415
angle = 4.996 radians
angle = 4.996 radians * (180/pi degrees/radian)
angle = 4.996 radians * (180/3.1415 degrees/radian)
angle = 286.252241719 degrees
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answer:
286 degrees
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