what is sin (π/2)? 1 -1 0 1/2

Explanation:

Step1: Recall sine - function values

The sine function $y = \sin(x)$ has well - known values for certain angles. The unit - circle definition of the sine function is $\sin(x)=y$ where $(x,y)$ is the point on the unit circle corresponding to the angle $x$ measured counter - clockwise from the positive $x$ - axis. For $x=\frac{\pi}{2}$, on the unit circle, the coordinates of the point corresponding to the angle $\frac{\pi}{2}$ radians (or 90 degrees) are $(0,1)$.

Step2: Determine the sine value

By the definition $\sin(x)$ as the $y$ - coordinate of the point on the unit circle corresponding to the angle $x$, when $x = \frac{\pi}{2}$, we have $\sin(\frac{\pi}{2})=1$.

Answer:

1