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Sin 15 Degrees

sin(15°) = 0.25881905, exactly (√6 − √2)/4.

Answer

sin(15°) = 0.25881905, exactly (√6 − √2)/4. The angle 15° equals π/12 radians (15 × π/180).

Exact form: (√6 − √2)/4. Decimal: 0.25881905 (rounded to 8 places).

Where 15° sits on the unit circle

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

  1. Set the calculator to DEG (degrees) mode.
  2. Press sin.
  3. Type 15.
  4. Press = to get 0.25881905.

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

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 15 degrees?

sin(15°) = 0.25881905, exactly (√6 − √2)/4.

What is sin 15° in radians?

15° = π/12 radians, so sin(15°) = sin(π/12) = 0.25881905.

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

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

Is sin 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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