sin o + cosec o by sin o is equal to 2 + cot2 o
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L. H. S = sin o + cosec o /sin o
= sin o/sino + cosec o/sin o
= 1+cosec/1/cosec o
= 1+cosec o * cosec/1
= 1+cosec2 o/1
= 1+1+cot2 o. ( cosec2 o = 1+ cot2 o)
= 2+cot2 o= R. H. S
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