Question

(F.Porto-Alegrense-RS) Qual o valor numérico da esxpressão Y= sen50°/cos40° + 2. tg25°/cot g65° + cos20°/2sen70° ?

Answer 1

$Ola'~~~~\mathbb{FLAVIA} \\ \\ Sendo~a ~express\~ao~: \\Y= \frac{sen50\°}{cos40\°} + \frac{2tg25\°}{cotg65\°}+ \frac{cos20\°}{2sen70\° } \\ \\ ~~~~~~~~~Valor~aproximado~de:\begin{cases}sen50\°=0,77 \\ cos40\°=0,77 \\ tg25\°=0,47 \\ cotg65\°=0,47 \\ cos20\°=0,94 \\ sen70\°=0,94\end{cases} \\ \\ ~Substituindo~esos~valores~na~express\~ao~temos: \\ \\ Y= \frac{0,77}{0,77}+ \frac{2(0,47)}{0,47}+ \frac{0,94}{2(0,94)} ~~--\ \textgreater \ simplificando~fica$
$Y=1+2+ \frac{1}{2} \\ \\ Y= \frac{2+4+1}{2} \\ \\ \boxed{\boxed{Y= \frac{7}{2}}} ~--\ \textgreater \ resposta \\ \\ \\ \mathbb{iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii}\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Espero~ter~ajudado!!$