Question

if cosec + cot= m and cosec - cot = n then find mn​

Answer 1

cosec + cot = m

cosec - cot = n

mn = ( cosec + cot ) ( cosec - cot )

= (cosec^2 - cot^2)

= 1

Answer 2

Answer:

given,

m = cosec∅ + cot∅ .......i

and

n = cosec∅ - cot∅ ......ii

multiply both

mn = ( cosec∅ + cot∅)( cosec∅ - cot∅)

=> mn = cosec²∅ - cot²∅

or , mn = 1

so,

the value of mn is 1.

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