Question

qual o valor de S(π/3) para a função definida por
S(x) = 1+2.sen(x)+4(sen x)^2 + 8(sen x)^3?

Answer 1

$S(\frac{\pi}{3})=1+2sen(\frac{\pi}{3})+4.sen(\frac{\pi}{3})^2+8sen(\frac{\pi}{3})^3\\ \\ S(\frac{\pi}{3})=1+2.\frac{\sqrt3}{2}+4.(\frac{\sqrt3}{2})^2+8sen(\frac{\sqrt3}{2})^3\\ \\ S(\frac{\pi}{3})=1+\sqrt3+4.\frac{3}{4}+8.\frac{3\sqrt3}{8}\\ \\ S(\frac{\pi}{3})=1+\sqrt3+3+3\sqrt3=4+4\sqrt3$