Question

On a unit circle, the terminal point of 0 is (1/2, square root 3/2). what is sin 0?

A. square root 3/2
B. 1/2
C. square root 3/3
D. square root 3

Answer 1

Answer: square root 3/2

Explanation:

Answer 2

A. √3/2

Explanation:

You want to know sin(θ) if the terminal point of angle θ on the unit circle is (1/2, √3/2).

Unit circle

The coordinates on the unit circle of the terminal point of angle θ are ...

(x, y) = (cos(θ), sin(θ))

Comparing this to the given terminal point, we find ...

cos(θ) = 1/2

sin(θ) = √3/2

The sine of angle θ is √3/2, choice A.

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