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Tan 330 Degrees

tan(330°) = -0.57735027, exactly −√3/3.

Answer

tan(330°) = -0.57735027, exactly −√3/3. The angle 330° equals 11π/6 radians (330 × π/180).

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

Where 330° sits on the unit circle

330° lies quadrant IV. 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 330° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press tan.
  3. Type 330.
  4. Press = to get -0.57735027.

If you get a different number, the calculator is probably in RAD mode. In radians you would enter 11π/6 instead of 330.

Quick results

sin 330°= -0.5
cos 330°= 0.8660254
tan 330°= -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 330 degrees?

tan(330°) = -0.57735027, exactly −√3/3.

What is tan 330° in radians?

330° = 11π/6 radians, so tan(330°) = tan(11π/6) = -0.57735027.

Why does my calculator show a different answer for tan 330?

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

Is tan 330° positive or negative?

Negative.

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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