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Sin 120 Degrees

sin(120°) = 0.8660254, exactly √3/2.

Answer

sin(120°) = 0.8660254, exactly √3/2. The angle 120° equals 2π/3 radians (120 × π/180).

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

Where 120° sits on the unit circle

120° lies quadrant II. 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 120° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press sin.
  3. Type 120.
  4. Press = to get 0.8660254.

If you get a different number, the calculator is probably in RAD mode. In radians you would enter 2π/3 instead of 120.

Quick results

sin 120°= 0.8660254
cos 120°= -0.5
tan 120°= -1.73205081

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 120 degrees?

sin(120°) = 0.8660254, exactly √3/2.

What is sin 120° in radians?

120° = 2π/3 radians, so sin(120°) = sin(2π/3) = 0.8660254.

Why does my calculator show a different answer for sin 120?

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

Is sin 120° 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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