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Tan 30 Degrees

tan(30°) = 0.57735027, exactly √3/3.

Answer

tan(30°) = 0.57735027, exactly √3/3. The angle 30° equals π/6 radians (30 × π/180).

Exact form: √3/3. Decimal: 0.57735027 (rounded to 8 places).

Where 30° sits on the unit circle

30° lies quadrant I. Remember that tangent is positive in quadrants I and III, and negative in the others, which decides the sign of the answer.

How to calculate tan 30° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press tan.
  3. Type 30.
  4. Press = to get 0.57735027.

If you get a different number, the calculator is probably in RAD mode. In radians you would enter π/6 instead of 30.

Quick results

sin 30°= 0.5
cos 30°= 0.8660254
tan 30°= 0.57735027

Tan of common angles

AngleRadiansTan
0°00
30°π/60.57735
45°π/41
60°π/31.732051
90°π/2undefined
120°2π/3-1.732051
135°3π/4-1
150°5π/6-0.57735
180°π0
270°3π/2undefined
360°2π0

Frequently Asked Questions

What is tan 30 degrees?

tan(30°) = 0.57735027, exactly √3/3.

What is tan 30° in radians?

30° = π/6 radians, so tan(30°) = tan(π/6) = 0.57735027.

Why does my calculator show a different answer for tan 30?

It is most likely set to radians. Switch to degree (DEG) mode before entering the angle.

Is tan 30° positive or negative?

Positive.

Is there an online scientific calculator I can use for this?

Yes. Use the calculator on this page, or open the full free Scientific Calculator with memory, history and keyboard support.

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