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