If median CD of ∆ABC is perpendicular on AC then show that 2 tan A +tanC =0

Question

Arun · Answer

Dear Anjali When we draw the median CD then, you will see that- In Triangle BCD use sine rule c/2 sinA /sin(180-C-A) = c/2 /sin(C-90) sinA/sin(A+C) = -1/cosC sinA cosC = -sin(A+ C) sinA cosC =-[sinAcosC + cosA sinC] 2tanA +tanC =0 Regards Arun (askIITians forum expert)

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

If median CD of ∆ABC is perpendicular on AC then show that 2 tan A +tanC =0

If median CD of ∆ABC is perpendicular on AC then show that 2 tan A +tanC =0

1 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Trigonometry

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship