tex] , если известно, что tgx =5...

July 2022 1 12 Report

Найдите значение выражения [tex]\frac{3sinx+cosx}{sinx-9cosx} [/tex] , если известно, что tgx =5

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Anastsiia $cos \neq 0 \\ \frac{3sinx+cosx}{sinx-9cosx}= \frac{3sinx/cosx+cosx/cosx}{sinx/cosx-9cosx/cosx}= \frac{3tgx+1}{tgx-9} = \frac{3*5+1}{5-9}= \\ = \frac{16}{-4}=-4$

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x 3x4df6320430c4859ab295900246e22abd 25299

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cosb cosb cosb tgb

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