Question

Determine o valor de x :

2sen x = -1 , para 0 < x < 2\pi

Answer 1

[0, 2π]

2sen x = - 1
sen x = - 1/2

No Ciclo Trigonométrico temos:

x = a + 2kπ
x = π + π/6 + 2kπ
x = 7π/6 + 2kπ

x = a + 2kπ
x = 2π - π/6 + 2kπ
x = 11π/6 + 2kπ

S = [7π/6 , 11π/6]