Question

Atividade de Matematica. Ajuda.

Calcule o valor das Expressões.



-as questões estão na foto.

Answer 1

a)

$\frac{sen\frac{\pi}{3}+sen2\pi}{sen\frac{\pi}{4}}=\frac{\frac{\sqrt3}{2}+0}{\frac{\sqrt2}{2}}=\frac{\sqrt3}{\sqrt2}=\sqrt{\frac{3}{2}}$

b)

$\frac{sen\frac{3\pi}{2}-sen\frac{2\pi}{3}}{3*sen\frac{\pi}{6}}=\frac{-1-\frac{\sqrt3}{2}}{3*\frac{1}{2}}=\frac{\frac{-2-\sqrt3}{2}}{\frac{3}{2}}=\frac{-2-\sqrt3}{2}$

c)

$\frac{sen\frac{4\pi}{3}-sen\frac{11\pi}{6}+sen \pi}{2*sen\frac{\pi}{2}}=\frac{-\frac{\sqrt3}{2}-(-\frac{1}{2})+0}{2*1}=\frac{-\frac{\sqrt3}{2}+\frac{1}{2}}{2}=\frac{\frac{1-\sqrt3}{2}}{2}=\frac{1-\sqrt3}{4}$