Answer:
tan x
Step-by-step explanation:
Using the trigonometric identities
secx = [tex]\frac{1}{cosx}[/tex] , cosecx = [tex]\frac{1}{sinx}[/tex] , then
[tex]\frac{secx}{cosecx}[/tex]
= [tex]\frac{\frac{1}{cosx} }{\frac{1}{sinx} }[/tex]
= [tex]\frac{1}{cosx}[/tex] × sinx
= [tex]\frac{sinx}{cosx}[/tex]
= tan x
