Name __________________________________
   From Euclid to Spigotry
Assignment 17 (outline 14)
Last modified: September 14, 2004
1. In the style of the original Machin proof from Beckmann, let tan b = 2/5. Calculate tan 2b, then
tan (p/4 - 2b), and again conclude that 

2. Prove the identity  by using Euler's formula (topic 7 in the notes) twice. In the first step q = 5/2.  In the second. p = 7/3 and you can figure out q.