Question

si tanx + cotx = 4 , calcula F =senx . cosx

Answer 1

Olá.

$tg(x)+cotg(x)=4\\\frac{sen(x)}{cos(x)} +\frac{cos(x)}{sen(x)} =4\\\frac{sen^2(x)+cos^2(x)}{sen(x).cos(x)} = 4\\\frac{1}{sen(x).cos(x)} = 4\\ 1=4.sen(x).cos(x)\\\frac{1}{4} = sen(x).cos(x)\\\ F = sen(x).cos(x) = \frac{1}{4}$

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