tex])=0,17...

July 2022 1 17 Report

Найти значение выражения sin([tex]\alpha -\beta[/tex])+2cos[tex]\alpha[/tex]sin[tex]\beta[/tex],если sin([tex]\alpha +\beta[/tex])=0,17.

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ArtemCoolAc

Да это легко, смотрите:

$sin(\alpha -\beta )+2cos\alpha sin\beta =\\ =sin\alpha cos\beta -cos\alpha sin\beta +2cos\alpha sin\beta = \\ =sin\alpha cos\beta + cos\alpha sin\beta =sin(\alpha +\beta )=0,17$

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