What is the output of sin(90) in degrees?

The output of sin(90) in degrees is indeed 1. This is based on the properties of the sine function, which relates to the right triangle and the unit circle.

In the unit circle, an angle of 90 degrees corresponds to the point where the terminal side of the angle reaches the top of the circle, specifically at the coordinates (0, 1). The sine of an angle is defined as the y-coordinate of the corresponding point on the unit circle. Since at 90 degrees, the y-coordinate is 1, it follows that sin(90) equals 1.

This fundamental aspect of the sine function in trigonometry is key to understanding why the correct value is 1, and it’s consistent across various applications in mathematics and physics.