The y-coordinate is equal to sin(π/2).
Explanation
When evaluating trigonometric functions for angles represented on the unit circle, specifically sin(π/2), we look at the point where the angle intersects the unit circle. The angle π/2 radians (or 90 degrees) corresponds to the point (0, 1) on the unit circle. By definition, the sine of an angle is represented by the y-coordinate of that point.
Therefore:
- sin(π/2) = y-coordinate = 1
The provided video excerpt confirms this by highlighting that the ordered pair at π/2 is relevant, and although it doesn't explicitly state the y-coordinate, it notes the x-coordinate is 0. Since the point is (0,1), the y-coordinate, and thus sin(π/2), is 1.
