17.9k views
3 votes
What's
the answer?????


What's the answer????? ​-example-1
User Zjk
by
3.6k points

1 Answer

5 votes

9514 1404 393

Step-by-step explanation:

Apparently, you're to show this is an identity.


(\tan^2A)/(\tan A-1)+(\cot A)/(1-\tan A)=1+\sec A\csc A\\\\(\tan^2 A-(1)/(\tan A))/(\tan A-1)=\\\\(\tan^3 A-1)/((\tan A)(\tan A-1))=\\\\\\(\tan^2 A+\tan A+1)/(\tan A)=\\\\1+(\sec^2 A)/(\tan A)=\\\\1+(1)/(\cos A)\cdot(1)/(\sin A)=1+\sec A\csc A

User Lakeysha
by
4.6k points