Question

How to prove : tanA+tanB+tan^2A+tan^2B+tan^3A+tan^3B=70 in right angled triangle ABC where AandB are acute angles

Answer 1

e that tanA+tanB+tanC=tanAtanBtanC, A+B+C=180∘ up vote 12 down vote favorite 6 I want to prove tanA+tanB+tanC=tanAtanBtanCwhen A+B+C=180∘ We know that tan(A+B)=tanA+tanB1−tanAtanB and that A+B=180∘−C. Therefore tan(A+B)=−tanC. From here, I get stuck. Please help. trigonometry triangle