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Sine Calculator for Degrees or Radians

Written by:
PK

On this page is a sine calculator, which works for your input of either angles or degrees. Enter your angle measurement and choose the units and run the calculator to see the sine.

Sine Calculator for Angles or Radians

Using the Sine Calculator

To use the tool to find the sine, enter the measurement of the angle in either degrees or radians, choose the units, and compute.

  • Angle - measurement of the angle (in either degrees or radians)
  • Degrees or Radians? - use the menu to choose the units

Once you're happy with the inputs, click the "Compute Sine" button.

  • Sine - the sine, or ratio of the opposite side over the hypotenuse

What is the sine?

For a given angle in a right triangle, sine is the ratio of the opposite side to the hypotenuse (longest side).

As the hypotenuse is the longest side, the longest the opposite side can be is equal to the hypotenuse. It follows that sine is always less than or equal to 1.

Right triangle to illustrate trigonometry functions
Right Triangle Diagram (CC By-SA 3.0 Wikimedia)

More generally, trigonometric functions can be used to find the ratio between sides of a unit circle, or a circle with radius 1.

Unit Circle to illustrate trigonometry.
Unit circle diagram (CC By-SA 3.0 Wikimedia)

Sine as a formula

As a trigonometry formula, sine is usually abbreviated as "sin", as in the following equation:

\sin(\theta)

If you know the result of the sine function, you can use arcsin or the inverse sine to find the angle.

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