trigonometry · worked example

Solve sin(π/3) = √3/2

Method: زاوية خاصة (راديان). 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} راديان =60°= 60°.

  2. على دائرة الوحدة عند 60°60°، الإحداثي الصادي هو 32\frac{\sqrt{3}}{2}.

  3. الجيب يساوي الإحداثي الصادي: 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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