MathDB

2012 ToT Spring Senior O p3 intersections of y = cos x and x = 100cos (100y)

Source:

March 5, 2020

trigonometrySumcoordinatesalgebra

Problem Statement

Consider the points of intersection of the graphs

y = \cos x

and

x = 100 \cos (100y)

for which both coordinates are positive. Let

a

be the sum of their

x

-coordinates and

b

be the sum of their

y

-coordinates. Determine the value of

\frac{a}{b}