To find the exact value of sin θ when θ is equal to π/2, we can refer to the unit circle. The angle π/2 radians corresponds to 90 degrees, which is located at the top of the unit circle.
On the unit circle, the coordinates of a point at this angle are (0, 1). The sine of an angle in the unit circle is determined by the y-coordinate of the corresponding point. Since the y-coordinate at π/2 is 1, we can conclude that:
sin(π/2) = 1
This tells us that the exact value of sin θ when θ equals π/2 is 1. Understanding this is crucial for trigonometry, as it forms a foundational concept in the study of angles and their relationships on the unit circle.