The measure 0 of an angle in standard position is given. Find the exact values of cos 0 and sin 0 for the angle measure and show your all your work.
Ο/6
To find the values of cos(π) and sin(π) for an angle measure of π/6 (pi/6), we can use the unit circle.
In the unit circle, an angle of π/6 is formed by rotating from the positive x-axis in the counterclockwise direction. This angle intersects the unit circle at the point (cos(π/6), sin(π/6)).
To find the values, we can use the trigonometric ratios for this angle.
cos(π/6) represents the x-coordinate of the point on the unit circle, and sin(π/6) represents the y-coordinate of the point.
From the unit circle, we can see that the x-coordinate of the point (cos(π/6), sin(π/6)) is β3/2, and the y-coordinate is 1/2.
Therefore, cos(π/6) = β3/2 and sin(π/6) = 1/2.