найти значение выражения 4sin 17 градусов * cos 17 градусов / cos 56 градусов. Created by Interfk. algebra-ru

cos 56 градусов...

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найти значение выражения 4sin 17 градусов * cos 17 градусов / cos 56 градусов

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dtnth

Verified answer

$\frac{4sin 17*cos 17}{cos 56}=\\ \frac{2*2sin 17*cos 17}{cos 56}=\\ \frac{2*sin (2*17)}{cos 56}=\\ \frac{2*sin 34}{cos 56}=\\ \frac{2*sin (90-56)}{cos 56}=\\ \frac{2*cos 56}{cos 56}=2$

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