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Sin 150 Degrees

sin(150°) = 0.5, exactly 1/2.

Answer

sin(150°) = 0.5, exactly 1/2. The angle 150° equals 5π/6 radians (150 × π/180).

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

Where 150° sits on the unit circle

150° 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 150° on a scientific calculator

  1. Set the calculator to DEG (degrees) mode.
  2. Press sin.
  3. Type 150.
  4. Press = to get 0.5.

If you get a different number, the calculator is probably in RAD mode. In radians you would enter 5π/6 instead of 150.

Quick results

sin 150°= 0.5
cos 150°= -0.8660254
tan 150°= -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 150 degrees?

sin(150°) = 0.5, exactly 1/2.

What is sin 150° in radians?

150° = 5π/6 radians, so sin(150°) = sin(5π/6) = 0.5.

Why does my calculator show a different answer for sin 150?

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

Is sin 150° 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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