Question

cosecA+cotA= p, p²+1/p²-1
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Answer 1

Cosec A + Cot A = p ——> 1

We know that,

Cosec^2 A - Cot^2 A = 1

(Cosec A + Cot A)(Cosec A - Cot A) = 1

p*(Cosec A - Cot A) = 1

Cosec A - Cot A = 1/p ——> 2

(p^2 + 1)/(p^2 - 1)

= ((p^2 + 1)*(1/p))/((p^2 - 1)*(1/p))

= ((p + (1/p))/((p - (1/p))

= ((Cosec A + Cot A) + (Cosec A - Cot A))/((Cosec A + Cot A) - (Cosec A - Cot A))

= (Cosec A + Cot A + Cosec A - Cot A)/(Cosec A + Cot A - Cosec A + Cot A)