MathDB
CIIM 2011 Problem 1

Source:

June 9, 2016
CIIM 2011undergraduate

Problem Statement

Find all real numbers aa for which there exist different real numbers b,c,db, c, d different from aa such that the four tangents drawn to the curve y=sin⁡(x)y = \sin (x) at the points (a,sin⁡(a)),(b,sin⁡(b)),(c,sin⁡(c))(a, \sin (a)), (b, \sin (b)), (c, \sin (c)) and (d,sin⁡(d))(d, \sin (d)) form a rectangle.
Back to ProblemsView on AoPS