prove that the following equation is an identity

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

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

May 6th, 2015

(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

May 6th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
May 6th, 2015
...
May 6th, 2015
Oct 17th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer