If \(\rm \frac{{\sin \,x}}{{\sin \,y}}\, = \,p\) and \(\rm \frac{{\cos \,x}}{{\cos \,y}}\, = \,q\), then tanx = ?

1

\(\rm \frac{p}{q}\sqrt {\frac{{{q^2}\, - \,2}}{{1\, - \,{p^2}}}} \)

2

\(\rm \frac{p}{q}\sqrt {\frac{{{q^2}\, - \,1}}{{1\, - \,{p^2}}}}\)

3

\(\rm \frac{p}{q}\sqrt {\frac{{1\, - \,{q^2}}}{{1\, + \,{p^2}}}} \)

4

\(\rm \frac{p}{q}\sqrt {\frac{{{q^2}\, - \,1}}{{1\, + \,{p^2}}}}\)

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