Question

A soma das soluções entre 0 e 2pi da equação 6 sen x = 3é:

Answer 1

$\displaystyle \text {6 sen x} = 3 \\\\ \text{sen x}=\frac{3}{6} \\\\\\ \text{sen x} = \frac{1}{2} \\\\\\ \text{sen x} =\text{sen }\frac{\pi}{6} \to \boxed{\text x = \frac{\pi}{6}} \\\\ \text{sen x} = \text{sen }\frac{5\pi}{6} \to \boxed{\text x = \frac{5\pi}{6} } \\\\\\ \underline{\text{Soma das solu{\c c}{\~o}es}}: \\\\ \text S = \frac{5\pi}{6}+\frac{\pi}{6} \to \text S = \frac{6\pi}{6} = \pi \\\\\\ \huge\boxed{\text{S}=\pi\ }\checkmark$