trigonometry · worked example

Solve sin(π/3) = √3/2

Method: 特殊角(弧度). Verified step-by-step solution with our free AI math solver.
Problem

sin(π3)\sin\bigl(\tfrac{\pi}{3}\bigr)

Step-by-step solution

  1. π3\frac{\pi}{3} 弧度 =60°= 60°

  2. 在單位圓上 60°60° 處,y 座標為 32\frac{\sqrt{3}}{2}

  3. 正弦等於 y 座標:sin(π3)=32\sin\bigl(\tfrac{\pi}{3}\bigr) = \frac{\sqrt{3}}{2}

Answer

sin(π3)=32\sin\bigl(\tfrac{\pi}{3}\bigr) = \tfrac{\sqrt{3}}{2}

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