Tan(60°) = √3
Tangent — sine divided by cosine, equivalently opposite/adjacent in a right triangle; undefined where cos = 0.
How to derive tan(60°)
tan(60°) = sin(60°)/cos(60°) = (√3/2)/(1/2) = √3. In the 30-60-90 triangle, opposite/adjacent = √3/1.
Unit-circle context
The angle 60° corresponds to π/3 radians and sits Quadrant I on the unit circle.
Other trig values at 60°
Related tan values
Frequently asked
- What is the exact value of tan(60°)?
- The exact value is √3. Its decimal approximation is 1.73205.
- How do you derive tan(60°)?
- tan(60°) = sin(60°)/cos(60°) = (√3/2)/(1/2) = √3. In the 30-60-90 triangle, opposite/adjacent = √3/1.
- What is 60° in radians?
- 60° equals π/3 radians (multiply degrees by π/180).
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