Question

calcule a função tangente / calcule a função cotangente / calcule as funções secante e cossecante​

Answer 1

Explicação passo-a-passo:

tangente

$a)tg\frac{5}{6} \\b)tg \frac{10}{5}=tg2 \\\\c)tg\frac{\frac{2}{3} }{\frac{2}{5} } =tg \frac{5}{3}\\\\\\d)tg \frac{\frac{2}{4} }{2} =tg \frac{1}{4}$

$e)tg \frac{\frac{5}{2} }{\frac{6}{3} }=tg (\frac{5}{2}.\frac{3}{6} ) =tg \frac{5}{4}$

cotangente

$a)cotg \frac{6}{5} \\b)cotg\frac{5}{10} =cotg\frac{1}{2} \\\\c)cotg\frac{\frac{2}{5} }{\frac{2}{3} }=cotg \frac{3}{5}$

$d)cotg\frac{2}{\frac{2}{4} } =cotg 4\\\\e)cotg\frac{\frac{6}{3} }{\frac{5}{2} }=cotg \frac{12}{15} =cotg \frac{4}{5}$

secante e cossecante

$a)sec \frac{1}{6} \\cossec \frac{1}{3}$

$b)sec \frac{1}{5} \\cossec \frac{1}{4}$

$c)sec \frac{1}{\frac{2}{5} } =sec \frac{5}{2}$

$cossec \frac{1}{\frac{2}{3} } =cossec \frac{3}{2}$

$d)sec \frac{1}{2} \\\\cossec \frac{1}{\frac{2}{4} } =cossec \frac{4}{2} =cossec2$

$e)sec \frac{1}{\frac{2}{3} } =sec \frac{3}{2} \\\\cossec \frac{1}{\frac{3}{2} } =cossec \frac{2}{3}$