# Ва T b C с S 4 Пь

Question

A rectangular strip of paper of width 4 inches is folded on the dashed line. See the diagram. Certain angles are angled to help solve solutions in part a (show that triangle T is similar to triangle S) and part C:

part C: use the diagram to show that tan^-1 2sqrt2 + 2tan^-1 sqrt2 = pi (radians).

Use only the diagram, basic angle facts, and the definitions of tan and tan^-1. In particular, do not use a calculator.