Sign Up to our MetaHub questions and Answers Engine to ask questions, answer members' questions, and connect with other teachers & members.
Login to our META-HUB questions & Answers Forum
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
There was an Olympiad question of evaluating the sum arccot(2) + arccot(3) by geometrical approach. My issue is how can you use only one figure to evaluate sum of infinite series of angles arccot(3) + arccot(7) + arccot(13)+….and show that equal to π/4 without any description in words.
We have plenty of applications related to convergent geometric series but not for this particular case. I believe the method used here can be totally new approach. The most important thing here is I’m using only one figure and basic geometry theorems. All points named in the figure have integer coordinates but because of practical difficulties I couldn’t draw a perfect figure in GeoGebra. Here you have the link for more details,
https://www.geogebra.org/m/j5yvst8s