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Cos 30 Degrees

cos(30°) = 0.8660254, exactly √3/2.

Answer

cos(30°) = 0.8660254, exactly √3/2. The angle 30° equals π/6 radians (30 × π/180).

Exact form: √3/2. Decimal: 0.8660254 (rounded to 8 places).

Where 30° sits on the unit circle

30° lies quadrant I. 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 30° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press cos.
  3. Type 30.
  4. Press = to get 0.8660254.

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

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 30 degrees?

cos(30°) = 0.8660254, exactly √3/2.

What is cos 30° in radians?

30° = π/6 radians, so cos(30°) = cos(π/6) = 0.8660254.

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

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

Is cos 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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