Sin(150°) = 1/2
Sine — the y-coordinate of the corresponding unit-circle point, or opposite/hypotenuse in a right triangle.
How to derive sin(150°)
150° is in quadrant II. Reference angle = 180° − 150° = 30°, sine positive in Q2, so sin(150°) = +sin(30°) = 1/2.
Unit-circle context
The angle 150° corresponds to 5π/6 radians and sits Quadrant II on the unit circle.
Its reference angle is 30°, which is why sin(150°) shares its absolute value with sin(30°).
Other trig values at 150°
Related sin values
Frequently asked
- What is the exact value of sin(150°)?
- The exact value is 1/2. Its decimal approximation is 0.5.
- How do you derive sin(150°)?
- 150° is in quadrant II. Reference angle = 180° − 150° = 30°, sine positive in Q2, so sin(150°) = +sin(30°) = 1/2.
- What is 150° in radians?
- 150° equals 5π/6 radians (multiply degrees by π/180).
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