Show that 1/cosec − cot = cosec + cot
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LHS = 1/cosec - cot
1/cosec- cot * cosec+ cot / cosec + cot
( by rationalising the denominator )
= cosec + cot / cosec^2 + cot^2
( using identity : cosec^2 A + cot^2 A = 1 )
= cosec + cot /1
= cosec + cot
LHS = RHS ; hence proved
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