How do you simplify secx/tanx?

2 Answers
Nov 13, 2016

cscx

Explanation:

Use tanx=sinx/cosx

And secx=1/cosx

So,secx/tanx=1/cosx*cosx/sinx=1/sinx=cscx

Jun 20, 2018

secx/tanx=cscx

Explanation:

Let's use the definitions of secx and tanx to simplify this. We know

secx=1/cosx and tanx=sinx/cosx. Let's plug these values into our original expression. we get

(1/cosx)/(sinx/cosx)=(1/cancel(cosx))/(sinx/cancel(cosx))=>1/sinx=>cscx

Therefore, secx/tanx=cscx

Hope this helps!