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Question Number 156058 by VIDDD last updated on 07/Oct/21

$$cos\frac{\pi }{8}=...?withsolutionplz$$

Answered by cortano last updated on 07/Oct/21

$$\cos \frac{\pi }{4}=2\cos {}^2\frac{\pi }{8}-1$$$$\cos \frac{\pi }{8}=\sqrt{\frac{1+\cos \frac{\pi }{4}}{2}}$$

Commented by puissant last updated on 08/Oct/21

$$\Rightarrow cos\frac{\pi }{8}=\sqrt{\frac{1+\frac{\sqrt{2}}{2}}{2}}\Rightarrow cos\frac{\pi }{8}=\frac{\sqrt{2+\sqrt{2}}}{2}..$$

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