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Cos 360 Degrees

cos(360°) = 1.

Answer

cos(360°) = 1. The angle 360° equals 2π radians (360 × π/180).

This is an exact value: 1.

Where 360° sits on the unit circle

360° lies on the positive x-axis. Remember that cosine is positive in quadrants I and IV, and negative in the others, which decides the sign of the answer.

How to calculate cos 360° on a scientific calculator

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

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

Cos of common angles

AngleRadiansCos
0°01
30°π/60.866025
45°π/40.707107
60°π/30.5
90°π/20
120°2π/3-0.5
135°3π/4-0.707107
150°5π/6-0.866025
180°π-1
270°3π/20
360°2π1

Frequently Asked Questions

What is cos 360 degrees?

cos(360°) = 1.

What is cos 360° in radians?

360° = 2π radians, so cos(360°) = cos(2π) = 1.

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

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

Is cos 360° 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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