Guest

prove tandeter/1-cotdeter+cotdeter/1-tandeter=1+tandeter+cotdeter

prove tandeter/1-cotdeter+cotdeter/1-tandeter=1+tandeter+cotdeter

Question Image
Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
LHS=tanx1−cotx+cotx1−tanx
=tan2xtanx(1−cotx)+cotx1−tanx
=cotx1−tanx+tan2xtanx−tanxcotx
=cotx1−tanx−tan2x1−tanx
=1tanx−tan2x1−tanx
=1−tan3xtanx(1−tanx)
=(1−tanx)(1+tanx+tan2x)tanx(1−tanx)
=tanx+sec2xtanx
=tanxtanx+sec2xtanx
=1+secx⋅secx⋅(cosxsinx)
=1+secx⋅(1sinx)
=1+secx⋅cscx
=1 + 1 / sinx. cosx
 
=1 + sin^2x + cos^2x / sinx cosx
 
= 1 + tanx + cotx
 

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free