Answer:
P(x, y) = (√3/2, -1/2)
Step-by-step explanation:
There are a few special angles whose trig functions are worthwhile to remember. The top half of the table in the second attachment shows these.
The first attachment shows a unit circle and coordinates of the points at these special angles. It is worthwhile to remember there are 2π radians in a circle, so -π/6 radians (your angle) corresponds to a positive angle of 11π/6 radians.
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The coordinates of P are ...
P(x, y) = (√3/2, -1/2)
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Additional comment
The coordinates of any point at angle α on a unit circle are ...
(x, y) = (cos(α), sin(α))
