Tangent Calculator
Calculate the tangent of an angle, in degrees or radians.
- Free to use
- Accurate results
- No registration required
- Works on all devices
Enter an angle (in degrees or radians) to calculate its tangent.
Your result
1
Tangent
AI explanation
Formula
tan(angle) = sin(angle) / cos(angle), converted to radians first if entered in degreesWorked example
tan(45°)
| Field | Value |
|---|---|
| Angle | 45 |
| Angle unit | degrees |
| Tangent | 1 |
Assumptions
- Tangent is undefined at angles like 90° and 270° (and their radian equivalents), where cosine is zero — this calculator rejects those inputs.
Frequently asked questions
What is tangent?
In a right triangle, tangent of an angle is the ratio of the length of the opposite side to the adjacent side — equivalently, sine divided by cosine.
Why does tangent grow so large near 90°?
As the angle approaches 90°, cosine approaches zero, and dividing by an increasingly small number makes tangent grow without bound — it's genuinely undefined exactly at 90°.
How do I find the angle from a tangent value instead?
Use the Inverse Trigonometry Calculator, which computes arctan (the inverse of tangent).