1.

1). √[(1 + cosA)/(1 - cosA)]2). cosecA - cotA3). √[(1 - cosA)/2]4). √[(1 + cosA)/2]

Answer»

As per the given data,

COT (A/2) = x

COS (A/2)/SIN (A/2) = x

we know that:

cos2A = (1 + cos 2A)/2

sin2A = (1 – cos 2A)/2

$(\frac{{\surd \left( {\frac{{1\; + \;cosA}}{2}} \right)}}{{\surd \left( {\frac{{1 - cosA}}{2}} \right)}})$ = x

x = $(\frac{{\surd \left( {1\; + \;\cos A} \right)}}{{\surd \left( {1 - \cos A} \right)}})$



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