(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 .