Tan(0°) = 0
Tangent — sine divided by cosine, equivalently opposite/adjacent in a right triangle; undefined where cos = 0.
How to derive tan(0°)
tan(0°) = sin(0°) / cos(0°) = 0 / 1 = 0. Geometrically, the line from origin at angle 0° has zero slope.
Unit-circle context
The angle 0° corresponds to 0 radians and sits on an axis on the unit circle.
Other trig values at 0°
Related tan values
Frequently asked
- What is the exact value of tan(0°)?
- The exact value is 0. Its decimal approximation is 0.
- How do you derive tan(0°)?
- tan(0°) = sin(0°) / cos(0°) = 0 / 1 = 0. Geometrically, the line from origin at angle 0° has zero slope.
- What is 0° in radians?
- 0° equals 0 radians (multiply degrees by π/180).
Need to solve any tan problem step by step?
Open the AI Trigonometry Solver — type or upload any problem, get step-by-step explanations free.