trigonometry · worked example

Solve cos(π/4) = √2/2

Method: زاوية خاصة (راديان). 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} راديان =45°= 45°.

  2. على دائرة الوحدة عند 45°45°، الإحداثي السيني هو 22\frac{\sqrt{2}}{2}.

  3. جيب التمام يساوي الإحداثي السيني: 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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