What is wrong with the following “solution” presented to this equation?

Question

sin⁡x tan⁡x=sin⁡x

tan⁡x= 1

x= π/4,5π/4

Answer 1

sin x tan x = sin x

sin x tan x - sin x = 0

sin x (tan x - 1) = 0

sin x = 0

or

tan x = 1

Answer 2

you are missing sin X = 0