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Sin 330 Degrees

sin(330°) = -0.5, exactly −1/2.

Answer

sin(330°) = -0.5, exactly −1/2. The angle 330° equals 11π/6 radians (330 × π/180).

Exact form: −1/2. Decimal: -0.5 (rounded to 8 places).

Where 330° sits on the unit circle

330° lies quadrant IV. 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 330° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press sin.
  3. Type 330.
  4. Press = to get -0.5.

If you get a different number, the calculator is probably in RAD mode. In radians you would enter 11π/6 instead of 330.

Quick results

sin 330°= -0.5
cos 330°= 0.8660254
tan 330°= -0.57735027

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 330 degrees?

sin(330°) = -0.5, exactly −1/2.

What is sin 330° in radians?

330° = 11π/6 radians, so sin(330°) = sin(11π/6) = -0.5.

Why does my calculator show a different answer for sin 330?

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

Is sin 330° positive or negative?

Negative.

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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