Sine is a trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the hypotenuse.
The sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In other words, sin θ = opposite/hypotenuse.
The sine function can be used to find the measure of an angle or the length of a side of a right triangle.
Here is a table of the values of the sine function for some common angles:
| Angle (θ) | Sine (sin θ) |
|---|---|
| 0° | 0 |
| 30° | 1/2 |
| 45° | √2/2 |
| 60° | √3/2 |
| 90° | 1 |
The sine function is a periodic function, meaning that it repeats itself at regular intervals. The period of the sine function is 2π, meaning that sin(θ + 2π) = sin θ for all values of θ.
The sine function is also an odd function, meaning that sin(-θ) = -sin θ for all values of θ.
The sine function is a fundamental function in trigonometry and has many applications in mathematics and science.