(a)
\The fraction is
.
Multiply the numarator and the denominator by
.

Apply algebric formula :
.



.
Thus, the simplified fraction is
.
(b)
\The fraction is
.
Multiply the numarator and the denominator by
.
\ \
Apply algebric formula :
.

Apply pythagorean identity :
.


Apply reciprocal identities : 
.
.
(a) The simplified fraction is
.
(b) The simplified fraction is
.