Tangent Calculator
Check out this tangent calculator if you want to calculate the tangent of any angle.
Tangent0.5773502692at 30° = 0.52359878 rad
sin0.5
cos0.8660254038
tan0.5773502692
csc2
sec1.1547005384
cot1.7320508076
Angle in radians0.5235987756
Special angles
| Angle | sin | cos | tan |
|---|---|---|---|
| 0° | 0 | 1 | 0 |
| 30° | 0.5 | 0.866025 | 0.57735 |
| 45° | 0.707107 | 0.707107 | 1 |
| 60° | 0.866025 | 0.5 | 1.732051 |
| 90° | 1 | 0 | undefined |
| 120° | 0.866025 | -0.5 | -1.732051 |
| 135° | 0.707107 | -0.707107 | -1 |
| 150° | 0.5 | -0.866025 | -0.57735 |
| 180° | 0 | -1 | 0 |
The formula
sin, cos and tan are ratios of a right triangle’s sides
The unit circle view
On a circle of radius 1, the point at angle θ has coordinates (cos θ, sin θ). That single picture explains everything else: why sine and cosine never leave [−1, 1], why they repeat every 360°, and why sin²θ + cos²θ = 1 — it is just Pythagoras on the radius.
The other three are reciprocals: csc = 1/sin, sec = 1/cos, cot = 1/tan. They are undefined wherever their denominator hits zero.