Упростите: sin(a+b)+sin(a-b)/cos a*cos b. Created by ыкьныкеь. algebra-ru

cos a*cos b...

August 2022 1 6 Report

Упростите:
sin(a+b)+sin(a-b)/cos a*cos b

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Удачник66 $\frac{sin(a+b)+sin(a-b)}{cos(a)*cos(b)}= \frac{sin(a)*cos(b)+cos(a)*sin(b)+sin(a)*cos(b)-cos(a)*sin(b)}{cos(a)*cos(b)} = \\ = \frac{2sin(a)*cos(b)}{cos(a)*cos(b)}= \frac{2sin(a)}{cos(a)} =2tg(a)$

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