# Sine Triangle Calculator

The handy sine triangle calculator is a tool that finds out **the sine of an angle that can be expressed in degrees, radians, or pi radians.** In this article, we will explain what the sine is, how to calculate it, and will show several examples.

## What is the sine in Trigonometry?

The sine of an angle is a trigonometric function that relates two triangle sides: The opposite side to the angle and the hypotenuse. Of course, it's better to explain with a picture:

As you can see, $\beta$ is the angle with $b$ as a triangle opposite side. Then, the sine of $\beta$ is the division between $c$ and the hypotenuse, $c$. In other words, the sine formula is:

## How to calculate the sine of an angle?

You can use our sine triangle calculator or do the following:

- Pick the opposite triangle side of the angle you are interested in. In the above picture, we have represented the opposite triangle side of $\beta$ as $b$. See that $a$ would correspond to $\alpha$
- Divide $b$ by $c$ for getting the sine of $\beta$.

## Sine triangle example - What is the sine of 30 degrees?

**It is 0.5.** How? Try Omnicalculator's sine triangle calculator or do the following:

**Notice you have a 30-60 right triangle.**This one is special because all the sides are in constant relationship. The hypotenuse is equivalent to 2; meanwhile, the other sides are equivalent to 1 and $\footnotesize \sqrt{3}$- The opposite side of the 30 degrees angle is the equivalent to 1.
**Therefore, we divide 1 by 2 and get 0.5.**

## Other useful tools like the sine triangle calculator

Since you already know how to calculate the sine of an angle, you can take a look at other calculators:

## FAQ

### How do you get the sine of an angle?

Try Omnicalculator's sine triangle calculator or do the following:

**Find the opposite side**of the angle you are interested in.**Divide**such opposite side**by the hypotenuse**of the triangle.- Confirm the result is not over 1. Congratulations, you have calculated the sine of an angle.

### What is the sine of 60 degrees?

**0.86.** You can verify it with Omnicalculator's sine triangle calculator or:

**Recognize you have a 30-60 right triangle**where the opposite side of your triangle is equivalent to the square root of 3.**Divide such side by the hypotenuse**, which is equivalent to 2. The result is the sine of 60 degrees.

### What is the sine of 45 degrees?

**0.71.** You can verify it with Omnicalculator's sine triangle calculator or:

**Recognize you have a 45-45 right triangle**where the opposite side of your triangle is equivalent to 1.**Divide such side by the hypotenuse**, which is equivalent to the square root of 2. The result is the sine of 45 degrees.