Tan(150°) = -√3/3
Tangent — sine divided by cosine, equivalently opposite/adjacent in a right triangle; undefined where cos = 0.
How to derive tan(150°)
150° is in quadrant II. Reference angle = 30°, tangent negative in Q2, so tan(150°) = −tan(30°) = −√3/3.
Unit-circle context
The angle 150° corresponds to 5π/6 radians and sits Quadrant II on the unit circle.
Its reference angle is 30°, which is why tan(150°) shares its absolute value with tan(30°).
Other trig values at 150°
Related tan values
Frequently asked
- What is the exact value of tan(150°)?
- The exact value is -√3/3. Its decimal approximation is -0.57735.
- How do you derive tan(150°)?
- 150° is in quadrant II. Reference angle = 30°, tangent negative in Q2, so tan(150°) = −tan(30°) = −√3/3.
- What is 150° in radians?
- 150° equals 5π/6 radians (multiply degrees by π/180).
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