Question

Calcule o valor do seno, cosseno e tangente dos ângulos L e B dos triângulos

Answer 1

a)

$\sin(l) = \frac{4}{5} \\ \cos(l) = \frac{3}{5} \\ \tan(l) = \frac{4}{3}$

b)

${a}^{2} = {4}^{2} + {6}^{2} \\ {a}^{2} = 16 + 36 \\ {a}^{2} = 52 \\ a = \sqrt{52} = \sqrt{4.13} = 2 \sqrt{13}$

$\sin(b) = \frac{6}{2 \sqrt{13} } = \frac{3}{ \sqrt{13}} = \frac{3 \sqrt{13} }{13} \\ \cos(b) = \frac{4}{2 \sqrt{13} } = \frac{2}{ \sqrt{13} } = \frac{2 \sqrt{13} }{13}$

$\tan(b) = \frac{6}{4} = \frac{3}{2}$