Trig Function Values
At 30°, sine is 0.5, cosine 0.866 and tangent 0.577. The angle is converted to radians internally and shown to six decimals.
Your numbers
sin
0.5
cos
0.866025
tan
0.57735
Formula
sin = sin(Angle (°)), cos = cos(Angle (°)), tan = tan(Angle (°))
Tangent diverges to infinity at 90° and 270°, where it is undefined.
What to enter
| Input | Default | Accepted range |
|---|---|---|
| Angle (°) (°)An angle in degrees; a full turn is 360°. | 30 | -360 ~ 360 |
Step by step
Quick reference table
Results when only Angle (°) (°) changes and everything else stays put.
| Angle (°) (°) | sin | cos | tan |
|---|---|---|---|
| 15 | 0.258819 | 0.965926 | 0.267949 |
| 22.5 | 0.382683 | 0.92388 | 0.414214 |
| 30 | 0.5 | 0.866025 | 0.57735 |
| 45 | 0.707107 | 0.707107 | 1 |
| 60 | 0.866025 | 0.5 | 1.732051 |
What each result means
| Result | At default values |
|---|---|
| sinThe sine of the angle — opposite over hypotenuse. | 0.5 |
| cosThe cosine of the angle — adjacent over hypotenuse. | 0.866025 |
| tanThe tangent of the angle; it is undefined at 90°. | 0.57735 |
Common mistakes
Tangent diverges to infinity at 90° and 270°, where it is undefined.
Glossary
- Angle (°)
- An angle in degrees; a full turn is 360°.
- sin
- The sine of the angle — opposite over hypotenuse.
- cos
- The cosine of the angle — adjacent over hypotenuse.
- tan
- The tangent of the angle; it is undefined at 90°.
Frequently asked questions
Q. How is Trig Function Values calculated?
sin = sin(Angle (°)), cos = cos(Angle (°)), tan = tan(Angle (°)) — At 30°, sine is 0.5, cosine 0.866 and tangent 0.577. The angle is converted to radians internally and shown to six decimals.
Q. Can you walk through an example?
With Angle (°) 30°, the answer is sin 0.5.
Q. What do I need to enter?
Enter Angle (°). The result recalculates as you type, and an empty box counts as zero.
Q. How much does the answer move if I change a number?
Changing only Angle (°) (°) moves the answer to Angle (°) (°) 15 → sin 0.258819 and Angle (°) (°) 60 → sin 0.866025. The table below lays out five steps.
Q. How are the numbers rounded?
Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.
Q. Anything to watch out for?
Tangent diverges to infinity at 90° and 270°, where it is undefined.
Related calculators
Keep your length units consistent across inputs — mixing centimetres and metres throws results far off.