Answer:
We know that
[tex]sinx=\frac{1}{cosecx}[/tex]
[tex]cosx=\frac{1}{secx}[/tex]
Given [tex]tanx=\frac{sinx}{cosx}[/tex]
[tex]tanx=\frac{1}{cosecx\times cosx}[/tex]
[tex]tanx=\frac{sinx \times secx }{1}[/tex]
[tex]tanx=\frac{secx}{cosecx}[/tex]
[tex]tan x= \frac{1}{cotx}[/tex]