tan^(-1)(1)/(p+q)+tan^(-1)(q)/(p^(2)+pq+1)=cot^(-1)p

If p > q > 0a n dp r < -1 < q r , then find the value of tan^(-1)((p-q)/(1+p q))+tan^(-1)((q-r)/(1+q r))+tan^(-1)((r-p)/(1+r p)) .

Prove tan ^ (- 1) ((1) / (p + q)) + tan ^ (- 1) ((a) / (p ^ (2) + q + 1)) = cos ^ (- 1) p

tan ^ (- 1) ((1) / (p + q)) + tan ^ (- 1) ((a) / (p ^ (2) + q + 1)) = cos ^ (- 1) p

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

If pgtqgt0 and prlt-1ltqr , then find the value of tan^(-1)((p-q)/(1+pq))+tan^(-1)((q-r)/(1+qr))+tan^(-1)((r-p)/(1+rp))

If pgtqgt0 and prlt-1ltqr , then find the value of tan^(-1)((p-q)/(1+pq))+tan^(-1)((q-r)/(1+qr))+tan^(-1)((r-p)/(1+rp))

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

If p>q>0 and pr<-1

Prove that "tan"^(-1)(ap-q)/(aq+p)+"tan"^(-1)(b-a)/(ab+1)+"tan"^(-1)(c-b)/(bc+1)="tan"^(-1)(p)/(q)-"tan"^(-1)(1)/(c )