" If "p_(x)r=1," then prove that "(1)/(1+p+q^(-1))+(1)/(l+q+r^(-1))+(1)/(1+r+p^(-1))=1

If pqr=1 show that (1)/(1+p+q^(-1))+(1)/(1+q+r^(-1))+(1)/(1+r+p^(-1))=1

(1)/(1+p+q^(-1))+(1)/(1+q+r^(-1))+(1)/(1+r+p^(-1))=1, if pqr=1

If pqr = 1, then what is value of the expression (1)/(1+p+q^(-1)) +(1)/(1+q+r^(-1)) +(1)/(1+r+p^(-1)) ?

If pgtqgt0 and prlt-1ltqr then prove that tan^(-1)((p-q)/(1+pq))+tan^(-1)((q-r)/(1+qr))+tan^(-1)((r-p)/(1+rp))=pi

Prove that .^(n)P_(r)=.^(n-1)P_(r)+r.^(n-1)P_(r-1) .

Prove that cot^(-1)((pq+1)/(p-q))+cot^(-1)((qr+1)/(q-r)) +cot^(-1)((rp+1)/(r-p))=0 .

The value of 1/(p + q^(-1) + 1) + 1/(q + r^(-1) + 1) + 1/(1 + r + p^(-1)) given that pqr = 1 is :