1.

\(\sqrt {\frac{{1 + {\rm{sin\theta }}}}{{1 - {\rm{sin\theta }}}}} \) is equal to?1). secθ - tanθ2). secθ + tanθ3). cosecθ + cotθ4). cosecθ - cotθ

Answer»

$(\sqrt {\frac{{1 + {\RM{sin\THETA }}}}{{1 - {\rm{sin\theta }}}}} )$

$(= \sqrt {\frac{{1 + {\rm{sin\theta }}}}{{1 - {\rm{sin\theta }}}} \times \frac{{1 + {\rm{sin\theta }}}}{{1 + {\rm{sin\theta }}}}} )$

$(= \frac{{1 + {\rm{sin\theta }}}}{{\sqrt {1 - {\rm{si}}{{\rm{n}}^2}{\rm{\theta }}} }})$

$(= \frac{{1 + {\rm{sin\theta }}}}{{{\rm{cos\theta }}}})$

 secθ + tanθ = 



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