Trigonometric value

Sin(60°) = √3/2

Sine — the y-coordinate of the corresponding unit-circle point, or opposite/hypotenuse in a right triangle.

How to derive sin(60°)

sin(60°)=32sin(60°) = \dfrac{\sqrt{3}}{2}

In the same 30-60-90 triangle (sides 1, √3, 2), the side opposite 60° has length √3, so sin(60°) = √3/2.

Unit-circle context

The angle 60° corresponds to π/3 radians and sits Quadrant I on the unit circle.

Other trig values at 60°

Related sin values

Frequently asked

What is the exact value of sin(60°)?
The exact value is √3/2. Its decimal approximation is 0.86603.
How do you derive sin(60°)?
In the same 30-60-90 triangle (sides 1, √3, 2), the side opposite 60° has length √3, so sin(60°) = √3/2.
What is 60° in radians?
60° equals π/3 radians (multiply degrees by π/180).

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