Use the unit​ circle, along with the definitions of the circular​ functions, to find the exact value for the function at the​ right, given s = π/6.

1 answer

To find the value of a circular function at a given angle, we need to refer to the unit circle and the definitions of the circular functions.

For this problem, let's find the exact value for the sine function when s = π/6.

First, recall that the sine function (sin) is defined as the y-coordinate of a point on the unit circle corresponding to a given angle.

In the unit circle, when s = π/6, the corresponding point has coordinates (cos(s), sin(s)). Since the x-coordinate (cos(s)) represents the cosine function, and the problem asks for the sine function, we will focus on the y-coordinate.

On the unit circle, when s = π/6, the y-coordinate is 1/2. Therefore, the sine function when s = π/6 is sin(π/6) = 1/2.