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Tan 15 Degrees

tan(15°) = 0.26794919, exactly 2 − √3.

Answer

tan(15°) = 0.26794919, exactly 2 − √3. The angle 15° equals π/12 radians (15 × π/180).

Exact form: 2 − √3. Decimal: 0.26794919 (rounded to 8 places).

Where 15° sits on the unit circle

15° lies quadrant I. 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 15° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press tan.
  3. Type 15.
  4. Press = to get 0.26794919.

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

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 15 degrees?

tan(15°) = 0.26794919, exactly 2 − √3.

What is tan 15° in radians?

15° = π/12 radians, so tan(15°) = tan(π/12) = 0.26794919.

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

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

Is tan 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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