Answer to Question #226461 in Trigonometry for Skhu

Question #226461
Find the terminal points P(x,y) on the unit circle determined by the given value t
1
Expert's answer
2021-08-16T14:08:57-0400

Given t,2πt2π.t, -2\pi\leq t\leq2\pi. Then


x=cost,y=sintx=\cos t, y=\sin t

 The terminal point P(cost,sint).P(\cos t, \sin t).





t=3π4,x=cos(3π4)=22,y=sin(3π4)=22t=\dfrac{3\pi}{4}, x=\cos(\dfrac{3\pi}{4})=-\dfrac{\sqrt{2}}{2}, y=\sin(\dfrac{3\pi}{4})=\dfrac{\sqrt{2}}{2}

P(22,22)P(-\dfrac{\sqrt{2}}{2}, \dfrac{\sqrt{2}}{2})



t=π3,x=cos(π3)=12,y=sin(π3)=32t=-\dfrac{\pi}{3}, x=\cos(-\dfrac{\pi}{3})=\dfrac{1}{2}, y=\sin(-\dfrac{\pi}{3})=-\dfrac{\sqrt{3}}{2}

P(12,32)P(\dfrac{1}{2}, -\dfrac{\sqrt{3}}{2})





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