√((1+sinA)/(1-sinA))= _______.

$\sqrt{\frac{1+sinA}{1-sinA}}$

Multiply and divide by ( 1 + sinA )

= $\sqrt{\frac{1+sinA}{1-sinA}}$  × $\sqrt{\frac{1+sinA}{1+sinA}}$

= $\sqrt{\frac{(1+sinA)²}{cos²A}}$

=  \(\frac{( 1 + sinA ) }{cosA}\)

= secA + tanA