Tan(30°) = √3/3
Tangent — sine divided by cosine, equivalently opposite/adjacent in a right triangle; undefined where cos = 0.
How to derive tan(30°)
tan(30°) = sin(30°)/cos(30°) = (1/2)/(√3/2) = 1/√3 = √3/3 after rationalising the denominator.
Unit-circle context
The angle 30° corresponds to π/6 radians and sits Quadrant I on the unit circle.
Other trig values at 30°
Related tan values
Frequently asked
- What is the exact value of tan(30°)?
- The exact value is √3/3. Its decimal approximation is 0.57735.
- How do you derive tan(30°)?
- tan(30°) = sin(30°)/cos(30°) = (1/2)/(√3/2) = 1/√3 = √3/3 after rationalising the denominator.
- What is 30° in radians?
- 30° equals π/6 radians (multiply degrees by π/180).
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