Q12 of 45 Page 1

Prove that :

cot^-1 ( root 1+sinx + root 1-sinx/root 1+sinx - root 1-sinx ) = x/2 x in ( 0 , pi /4 )


OR


Prove that:


2tan^-1 ( 1/5 ) + sec^-1 ( 5 root 2/7 ) + 2tan^-1 ( 1/8 ) = pi /4

We have, LHS,



We know that,



⇒


=


=


=



=RHS


Hence proved.


OR


We have, LHS,



=



=


=


=



=


=


=


=


=




=RHS


Hence proved.


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