Arctangent Sum

Geometry Level pending

arctan ⁡ ( 1 a ) + arctan ⁡ ( 1 b ) + arctan ⁡ ( 1 c ) = π 4 \arctan \left(\frac 1a \right)+\arctan\left(\frac 1b \right)+\arctan \left(\frac 1c \right) = \frac \pi 4

How many positive integer triplets ( a , b , c ) (a,b,c) , where a ≤ b ≤ c a \le b \le c , satisfy the equation above?


The answer is 3.

Chris Sapiano by Chris Sapiano , 19, United Kingdom

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Vilakshan Gupta
Apr 15, 2020

The same problem is here .

0 Helpful 0 Interesting 0 Brilliant 0 Confused

1 pending report

Vote up reports you agree with

×

Problem Loading...

Note Loading...

Set Loading...