trigonometry · worked example

Solve cos(π/4) = √2/2

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Problem

$\cos\bigl(\tfrac{\pi}{4}\bigr)$

Step-by-step solution

$\frac{\pi}{4}$ Bogenmaß $= 45°$ .
Am Einheitskreis bei $45°$ ist die x-Koordinate $\frac{\sqrt{2}}{2}$ .
Der Kosinus ist gleich der x-Koordinate: $\cos\bigl(\tfrac{\pi}{4}\bigr) = \frac{\sqrt{2}}{2}$ .

Answer

$\cos\bigl(\tfrac{\pi}{4}\bigr) = \tfrac{\sqrt{2}}{2}$

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