Tan(360°) = 0
Tangent — sine divided by cosine, equivalently opposite/adjacent in a right triangle; undefined where cos = 0.
How to derive tan(360°)
tan(360°) = sin(360°)/cos(360°) = 0/1 = 0. After one full revolution the terminal side returns to the positive x-axis.
Unit-circle context
The angle 360° corresponds to 2π radians and sits on an axis on the unit circle.
Other trig values at 360°
Related tan values
Frequently asked
- What is the exact value of tan(360°)?
- The exact value is 0. Its decimal approximation is 0.
- How do you derive tan(360°)?
- tan(360°) = sin(360°)/cos(360°) = 0/1 = 0. After one full revolution the terminal side returns to the positive x-axis.
- What is 360° in radians?
- 360° equals 2π radians (multiply degrees by π/180).
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