solve the equation on the interval [0, 2pi]:

Question

tan^2 x - 3 tan x + 2 = 0

Answer 1

(tanx - 1)(tanx - 2) = 0
tanx = 1 or tanx = 2

for tanx = 1,
x = π/4 or π+π/4 = 5π/4

for tanx = 2
x = appr 1.107 or π+1.107 = 4.249