prove that the following equation is an identity

User Generated

wnyrknaqen

Mathematics

Description

(1+tanx)/(1-tanx)=(1+cotx)/(1-cotx)

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

(1+tanx)/(1-tanx)=(1+sinx/cosx)/(1-sinx/cosx)

                           = ((cosx+sinx)/cosx))/((cosx-sinx)/cosx))

                           = (cosx+sinx)/(cosx-sinx)

We divide up and down by sinx to make cotx appear

= (cotx+1)/(cotx-1)

This is the right expression


Anonymous
I was stuck on this subject and a friend recommended Studypool. I'm so glad I checked it out!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags