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Tan 360 Degrees

tan(360°) = 0.

Answer

tan(360°) = 0. The angle 360° equals 2π radians (360 × π/180).

This is an exact value: 0.

Where 360° sits on the unit circle

360° lies on the positive x-axis. 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 360° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press tan.
  3. Type 360.
  4. Press = to get 0.

If you get a different number, the calculator is probably in RAD mode. In radians you would enter 2π instead of 360.

Quick results

sin 360°= 0
cos 360°= 1
tan 360°= 0

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 360 degrees?

tan(360°) = 0.

What is tan 360° in radians?

360° = 2π radians, so tan(360°) = tan(2π) = 0.

Why does my calculator show a different answer for tan 360?

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

Is tan 360° 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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