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trigonometry · worked example

Solve sin(π/3) = √3/2

Method: góc đặc biệt (radian). 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} radian =60°= 60°.

  2. Trên đường tròn đơn vị tại 60°60°, tọa độ y là 32\frac{\sqrt{3}}{2}.

  3. Sin bằng tọa độ y: 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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