i'm doing trigometric equations, and i'm having trouble solving these two equations...

secx tanx - secx = 0   factor out the secx

secx [ tanx - 1]   = 0 

So     either the sec x = 0    which is impossible .....  or ......

tanx - 1  = 0  →    tanx = 1      and this occurs at   pi/4 + n*pi   where n is an integer 

secx tanx + secx = 0     again, factor out the secx

secx [ tax + 1]  = 0

secx = 0  is impossible

tanx + 1  = 0

tan x = -1       and this occurs at  3pi/4  + n*pi     where n is an integer