The sine of pi/2 (π/2) is equal to 1.
Explanation:
When considering the unit circle, pi/2 radians corresponds to an angle of 90 degrees. At this point on the unit circle, the coordinates are (0, 1).
- The sine function corresponds to the y-coordinate of the point on the unit circle.
- Therefore, sin(π/2) = 1.
Visual Representation:
Imagine a point moving counterclockwise around the unit circle, starting from the positive x-axis (0 radians). As the point reaches π/2 radians (90 degrees), it's located at the very top of the circle. The y-coordinate at this point is 1, representing the sine value.
