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Sin 360 Degrees

sin(360°) = 0.

Answer

sin(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 sine is positive in quadrants I and II, and negative in the others, which decides the sign of the answer.

How to calculate sin 360° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press sin.
  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

Sin of common angles

AngleRadiansSin
0°00
30°π/60.5
45°π/40.707107
60°π/30.866025
90°π/21
120°2π/30.866025
135°3π/40.707107
150°5π/60.5
180°π0
270°3π/2-1
360°2π0

Frequently Asked Questions

What is sin 360 degrees?

sin(360°) = 0.

What is sin 360° in radians?

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

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

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

Is sin 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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