Math Corner #4 - Geometrically Triggy Mystery Cache

My friend Chris is finishing his Masters degree in Math and teaches Pre-Calculus at UNLV.  He is a fellow hiker & when I brought up the idea of making a series of math-based puzzle caches, he happily agreed to help create this series.  Some will be fairly easy & some will be quite difficult.  No hiking needed for this one! Good luck!

N 36.A.C

W 115.B.D

A is the number of intersecting points between f(x)=-14πsin(4x-1) and g(x)=7π such that |x|< 37/7

B is the number of sides of a regular polygon such that when cut into congruent triangles, the base angles of each triangle are twice the central angle.

C is one more than the area of the below figure given the following conditions.

- a is equal to the largest number of sides possible for a convex polygon to be able to create a regular tiling

- b is equal to the sum of the digits of the only three digit number which is equal to the cube of the sum of its digits

D is number of degrees of an angle which is supplementary to an angle of A degrees