Question

if tany(1+tanx)=1-tanx,show that dy\dx=-1

Answer 1

Let,, tanx =t,, then tany (1+t)=1-t

Answer 2

then

Answer 3

now what will be the next steps?

Answer 4

\[y=\tan^{-1}[ (1-t)/(1+t)]\]

Answer 5

Now do dy/dx

Answer 6

at the last substitute t=tanx

Answer 7

without substitution we can solve this

Answer 8

we can it is laborious.. usually people solve this type by substituting

Answer 9

ya its possible

Answer 10

substitute sec x by (1/cosx) and tanx by (sinx/cosx) and chk

Answer 11

plz let me know how?

Answer 12

http://answers.yahoo.com/question/index?qid=20080722170337AA2JXFk

Answer 13

CHK

Answer 14

thanks raja!