Вычислите: 2([tex]cos^{2} \frac{\pi }{8}-sin^{2}\frac{\pi }{8}[/tex]). Created by WeirdMe01ver. algebra-ru

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March 2022 1 12 Report

Вычислите:
2([tex]cos^{2} \frac{\pi }{8}-sin^{2}\frac{\pi }{8}[/tex])

Answers & Comments

snow99
$2( {cos}^{2} \frac{\pi}{8} - {sin}^{2} \frac{\pi}{8} ) = 2cos(2 \times \frac{\pi}{8} ) = 2cos \frac{\pi}{4} = 2 \times \frac{ \sqrt{2} }{2} = \sqrt{2}$

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