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23 votes
23 votes
What are the coordinates of the terminal point determined t= 10pi/3?

User Ottobar
by
3.1k points

1 Answer

21 votes
21 votes

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 ( -1/2 , -√3/2)

User Jyoti Prasad Pal
by
2.4k points
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