Question

O valor de X na equação trigonométrica tgx = -√3, é:
a) x = 2π/5 ou x = 3π/4
b) x = 3π/2 ou x = 5π/2
c) x = 2π/3 ou x = 5π/3
d) x = 3π/5 ou x = 5π/4
e) x = 5π/3 ou x = 2π/5

Answer 1

√3 = tg π/3 => (1° e 3° Q)

-√3 = tg (π -π/3) = 2π/3 ✓ (2° Q)

-√3 = tg (2π -π/3)= 5π/3 ✓ (4° Q)

==> c) x = 2π/3 ou x = 5π/3