cosecA - cotA = sinA / 1+cosA
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cosecA-cotA
=1/sinA-cosA/sinA
=(1-cosA/sinA)*(1+cosA/1+cosA)
=1-cos²A/sinA+sinA. cosA
=sin²A/sinA+sinA.cosA
=sinA.sinA/sinA (1+cosA)
=sinA/1+cosA
hence ,proved
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