How do I simplify sec x/tan x ?

Question

8562 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-20T05:06:05

#sec x/tan x#

#(1/cosx )/(sinx/cosx)#

#1/cancelcosx xx cancelcosx/sinx#

#1/sinx = cscx#

Answer 2 · 2018-02-20T05:07:26

#csc(x)#

Recall that

#tan(x)=sin(x)/cos(x)#

Rewrite your expression:

#sec(x)/[sin(x)/cos(x)]#

Recall that

#sec(x)=1/cos(x)#

Rewrite again:

#(1/cos(x))/(sin(x)/cos(x)]#

#cos(x)# cancels out:

#1/sin(x)=csc(x)#