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Question: Find the exact coordinates of the point at which the terminal side of the angle intersects the unit circle.
A ) (-
1
2
, -
3
2
)
B ) (
1
2
, -
3
2
)
C ) (
1
2
,
3
2
)
D ) (-
1
2
,
3
2
)
Steps to derive
2
x
-coordinate = cos (- 120°) = -
1
2
[
x
-coordinate is negative in quadrant III.]
3
y
-coordinate = sin (- 120°) = -
3
2
[
y
-coordinate is negative in quadrant III.]
4
The coordinates of point P are (-
1
2
, -
3
2
).
Hence the right answer is Option A
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