Solve sin(π/3)

Problem

$\sin\bigl(\tfrac{\pi}{3}\bigr)$

Step-by-step solution

$\frac{\pi}{3}$ radians $= 60°$ .
On the unit circle at $60°$ , the y-coordinate is $\frac{\sqrt{3}}{2}$ .
Sine equals the y-coordinate: $\sin\bigl(\tfrac{\pi}{3}\bigr) = \frac{\sqrt{3}}{2}$ .

Answer

$\sin\bigl(\tfrac{\pi}{3}\bigr) = \tfrac{\sqrt{3}}{2}$

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