Question

ME AJUDEM,calcule o seno,o cosseno e a tangente do ângulo  em cada triângulo

Answer 1

$\sin( \alpha ) = \frac{co}{h} \\ \cos( \alpha ) = \frac{ca}{h} \\ \tan( \alpha ) = \frac{co}{ca}$
sendo: "co" o cateto oposto ao ângulo;
"ca" cateto adjacente e "h" a hipotenusa.

a)
h = 5.8cm
ca=4cm
co= 4.2cm
logo
$\sin( \alpha ) = \frac{4.2}{5.8} \\ \cos( \alpha ) = \frac{4}{5.8} \\ \tan( \alpha ) = \frac{4.2}{4}$
b)
h = 6.1cm
ca=6cm
co= 1.1cm
$\sin( \alpha ) = \frac{1.1}{6.1} \\ \cos( \alpha ) = \frac{6}{6.1} \\ \tan( \alpha ) = \frac{1.1}{6}$
c)
h = 6cm
ca=4.8cm
co= 3.6cm
$\sin( \alpha ) = \frac{3.6}{6} \\ \cos( \alpha ) = \frac{4.8}{6} \\ \tan( \alpha ) = \frac{3.6}{4.8}$