MathDB

7

Part of 2016 Math Prize for Girls Problems

Problems(1)

Math Prize 2016 Problem 7

Source:

9/12/2016
Let SS be the set of all real numbers xx such that 0≤x≤2016π0 \le x \le 2016 \pi and sin⁡x<3sin⁡(x/3)\sin x < 3 \sin(x/3). The set SS is the union of a finite number of disjoint intervals. Compute the total length of all these intervals.
Math Prize for Girls