trigonometry · worked example

Solve cos(π/4) = √2/2

Method: خاص زاویہ (ریڈین). 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} ریڈین =45°= 45°۔

  2. اکائی دائرے پر 45°45° پر، x-مختصات 22\frac{\sqrt{2}}{2} ہے۔

  3. جیبِ تمام x-مختصات کے برابر ہے: 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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