andrearaygoza73
andrearaygoza73 andrearaygoza73
  • 20-06-2022
  • Mathematics
contestada

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

What are the coordinates of the terminal point determined by t 10 pie3 class=

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AliMay050
AliMay050 AliMay050
  • 20-06-2022

Answer:

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

the answer is the option A

Step-by-step explanation:

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