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zzz [600]
3 years ago
15

What are the coordinates of the terminal point determined by t=10pi/3

Mathematics
1 answer:
givi [52]3 years ago
3 0

we know that

10*pi/3------> convert to degrees------> 10*180/3=600 degrees

600=360+240

240 degrees belong to the III quadrant

so

the x-coordinate is negative

the y-coordinate is negative


240°=180°+60°

60 degrees is the angle to find the terminal point

let

∅=60°


in the unit circle

r=1 units

x=-r*cos ∅----> x=-cos 60------> x=-(1/2)

y=-r*sin ∅----> y=-sin 60------> y=-(√3)/2

the point is (-\frac{1}{2} ,-\frac{\sqrt{3}}{2} )


therefore


the answer is the option D

(-\frac{1}{2} ,-\frac{\sqrt{3}}{2} )

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