The sine of an acute angle of a right triangle is the ratio of the opposite leg to the hypotenuse (the longest side, opposite the right angle), measured in radians.

The sine of θ can also be defined as the y-coordinate of the point on the unit circle that is located at an angle θ from the origin (measured counterclockwise from the positive x-axis).

Syntax

SIN(angle in radians)

For angle_in_radians, specify the radians or the column of radians.

Example

Column

Calculator expression

Result

C1 contains 1.5

SIN(C1)

0.997494986604

Uses

Sine and other trigonometric functions are used to model wave motion and periodic phenomena, such as seasonal patterns. They form the foundation for advanced analyses in electrical engineering, digital image processing, radiography, thermodynamics, telecommunications and many other fields in science and technology.