To evaluate sin(π/4), we can use the known values of sine for common angles. The angle π/4 radians is equivalent to 45 degrees. In the unit circle, the sine of an angle represents the y-coordinate of the corresponding point on the circle.
For the angle 45 degrees (or π/4 radians), the coordinates of the point on the unit circle are (√2/2, √2/2). This means both the sine and cosine values for 45 degrees are the same. Hence:
- sin(π/4) = y-coordinate = √2/2
Thus, the final answer is:
sin(π/4) = √2/2