Question

solve each equation on the interval 0≤ x ≤ 2π.
(tanx-1)(secx-1)=0

Answer 1

The equation (tanx-1) (secx-1) = 0 with the interval 0≤ x ≤ 2π.
Set each factor to zero, that is

tan x - 1 = 0
secx - 1 = 0

x for tan are $\pi$/2, 3$\pi$/2, 5$\pi$/2
x for sec are 0 and 2$\pi$