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Cos 15 Degrees

cos(15°) = 0.96592583, exactly (√6 + √2)/4.

Answer

cos(15°) = 0.96592583, exactly (√6 + √2)/4. The angle 15° equals π/12 radians (15 × π/180).

Exact form: (√6 + √2)/4. Decimal: 0.96592583 (rounded to 8 places).

Where 15° sits on the unit circle

15° 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 15° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press cos.
  3. Type 15.
  4. Press = to get 0.96592583.

If you get a different number, the calculator is probably in RAD mode. In radians you would enter π/12 instead of 15.

Quick results

sin 15°= 0.25881905
cos 15°= 0.96592583
tan 15°= 0.26794919

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 15 degrees?

cos(15°) = 0.96592583, exactly (√6 + √2)/4.

What is cos 15° in radians?

15° = π/12 radians, so cos(15°) = cos(π/12) = 0.96592583.

Why does my calculator show a different answer for cos 15?

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

Is cos 15° 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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