The required point lies on the unit circle
the terminal point corresponding to –120°
What is radius?
Radius of the circle is the distance between the center to the circumference.
since the angle is given at -120°.
so the point lies on the 3 quadrant
now for unit circle has radius of 1
the center of circle is on origin
so radius = 1 at angle -120
sin 30 = p/1
p = 1/2
cos 30 = b/1
√3/2 = b
Now the
Pythagorean theorem (r)^2= (1/2)^2 + (√3/2)^2
= 1/4 +3/4
= 4/4
=1
Hence proved
Thus the required point is located at the third quadrant so the point can be given as (-1/2, √3/2 )
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