Question 919732: Suppose that the terminal point determined by t is the point
(1/2, √(3)/2) on the unit circle. Find the terminal point determined by each of the following.
(a) -t (x,y) = (_,_)
(b) π - t (x,y) = (_,_)
(c) t - π (x,y) = (_,_)
Please explain how these are solved
Thanks!
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Suppose that the terminal point determined by t is the point
(1/2, √(3)/2) on the unit circle. Find the terminal point determined by each of the following.
Given data shows t is an angle of 60˚in standard position in quadrant I. The x-coordinate represents the cos function and y represents the sin function.
..
(a) -t (x,y) = (_,_)
rotating t˚cw results in angle of 300˚in standard position in quadrant IV
x=cos300˚=1/2˚
y=sin300˚=-√3/2
(x,y)=(1/2,-√3/2)
..
(b) π - t (x,y) = (_,_)
rotate π cc-t˚ results in angle of 120˚in standard position in quadrant II.
x=cos120˚=-1/2˚
y=sin120˚=√3/2
(x,y)=(-1/2,√3/2)
..
(c) t - π (x,y) = (_,_)
rotate t˚cc-π results in angle of 240˚in standard position in quadrant III.
x=cos240˚=-1/2˚
y=sin240˚=-√3/2
(x,y)=(-1/2,-√3/2)
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