Решите, пожалуйста Доказать справедливость равенств, картинка прилагается...

July 2022 1 4 Report

Решите, пожалуйста
Доказать справедливость равенств, картинка прилагается

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$\frac{sin28*cos28*cos56+sin2*cos2*cos4}{sin2*sin28} = \frac{ \frac{1}{2} sin(2*28)*cos56+\frac{1}{2} sin(2*2)*cos4}{sin2*sin28} =$
$\frac{ \frac{1}{2} sin(2*56)+\frac{1}{2} sin(2*4)}{2sin2*sin28} =\frac{ sin112+sin8}{4sin2*sin28}=\frac{ 2sin( \frac{112+8}{2})*cos( \frac{112-8}{2})}{4sin2*sin28}=$
$\frac{ 2sin60*cos52}{4sin2*sin28}=\frac{ 2 \frac{ \sqrt{3}}{2}*cos(90-38)}{4sin2*sin28}=\frac{ \sqrt{3} sin38}{4sin2*sin28}$

$\frac{(1-2sin50)*2cos 160}{2cos160} = \frac{2cos160-4sin50cos160}{2cos160} = \frac{2cos160-4* \frac{1}{2} (sin210+sin(-110))}{2cos160}$
$\frac{2cos(180-20)-2sin(180+30)+2sin(90+20)}{2cos160} =\frac{-2cos20+2sin30+2cos20}{2cos160} = \frac{2*1/2}{2cos160}=$
$\frac{1}{2cos 160} =0.5 cos^{-1}160$

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aniyn August 2022 | 0 Ответы

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