The value of sin pi/2 is 1.
The sine function, often written as sin(x), is a trigonometric function that relates an angle of a right triangle to the ratio of the length of the side opposite the angle to the length of the hypotenuse. When dealing with angles measured in radians, pi/2 represents 90 degrees. Specifically, sin(pi/2) refers to the sine of the angle pi/2 radians.
As the reference states, "Sin pi/2 is the value of sine trigonometric function for an angle equal to pi/2 radians. The value of sin pi/2 is **1**". This means that when the angle is 90 degrees (or pi/2 radians), the ratio of the opposite side to the hypotenuse is equal to 1.
| Angle (Radians) | Angle (Degrees) | sin(angle) |
|---|---|---|
| 0 | 0 | 0 |
| pi/6 | 30 | 1/2 |
| pi/4 | 45 | √2/2 |
| pi/3 | 60 | √3/2 |
| pi/2 | 90 | 1 |
| pi | 180 | 0 |
| 3pi/2 | 270 | -1 |
| 2pi | 360 | 0 |
