The terminal side of an angle measuring pi over 6 radians intersects the unit circle at what point?
Answer
A
open paren the fraction with numerator square root of 3 and denominator 2 comma 1 half close paren
B
open paren the fraction with numerator square root of 3 and denominator 3 comma 1 half close paren
C
open paren 1 half comma the fraction with numerator square root of 3 and denominator 3 close paren
D
open paren 1 half comma the fraction with numerator square root of 3 and denominator 2 close paren
Explanation
On the unit circle, the point for an angle θ is (cos θ, sin θ). For θ = π/6, cos(π/6) = √3/2 and sin(π/6) = 1/2, so the point is (√3/2, 1/2). Choice C gives that point.
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