He is a Chartered Market Technician (CMT). Alistair Berg / Getty Images A triangle chart pattern is a tool used in technical analysis. Named for its resemblance to a series of triangles ...

Trigonometry is the branch of math that studies triangles, with a particular focus on the relationships between angles and the lengths of corresponding sides. Interestingly enough, the ...

So we've reduced the question to showing that sin(54°) = φ/2. The trick now is to consider the isosceles triangle ABC shown below, whose angles are 36°, 72° and 72°.