5sin(3p+a)...

sandmant @sandmant

July 2022 1 9 Report

(7cos(7p/2 -a))/5sin(3p+a)

Answers & Comments

Freakazoid

Verified answer

В числителе:
$7cos( \frac{7 \pi }{2}- \alpha )=7cos( 2 \pi +( \pi +( \frac{ \pi }{2} - \alpha )))=7cos( \pi +( \frac{ \pi }{2} - \alpha ))= \\ =-7cos( \frac{ \pi }{2}- \alpha )=-7sin \alpha ;$
В знаменателе:
$5sin(3 \pi + \alpha )=5sin(2 \pi +( \pi + \alpha ))=5sin( \pi + \alpha )=-5sin \alpha;$
$\frac{-7sin \alpha }{-5sin \alpha } = \frac{7}{5}=1,4$

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