CosA cotA / 1- sin A = 1 + cosec A
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Step-by-step explanation:
LHS = CosA CotA / (1- sin A)
=CosA.(CosA/SinA)(1-SinA)
=Cos2A/SinA(1-SinA)
=(1-Sin2A)/SinA(1-SinA)
=(1+SinA)(1-SinA)/SinA(1-SinA)
=(1+SinA)/SinA [Cancelling out (1-SinA) from numr & denr]
=1/SinA + SinA/SinA
=CosecA +1
=1+CosecA
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