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trigonometry · worked example

Solve cos(π/4) = √2/2

Method: góc đặc biệt (radian). Verified step-by-step solution with our free AI math solver.
Problem

cos⁡(π4)\cos\bigl(\tfrac{\pi}{4}\bigr)

Step-by-step solution

  1. π4\frac{\pi}{4} radian =45°= 45°.

  2. Trên đường tròn đơn vị tại 45°45°, tọa độ x là 22\frac{\sqrt{2}}{2}.

  3. Cos bằng tọa độ x: cos⁡(π4)=22\cos\bigl(\tfrac{\pi}{4}\bigr) = \frac{\sqrt{2}}{2}.

Answer

cos⁡(π4)=22\cos\bigl(\tfrac{\pi}{4}\bigr) = \tfrac{\sqrt{2}}{2}

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