# Reach for the Summit - M-S2-A2

Geometry Level 4

Without using a calculator, find the value of:

$(\sec 50 \degree + \tan 10 \degree)\left(\cos \dfrac{2 \pi}{7}+\cos \dfrac{4 \pi}{7}+ \cos \dfrac{6 \pi}{7}\right)(\tan 6 \degree \tan 42 \degree \tan 66 \degree \tan 78 \degree)$

Let $A$ denote the value. Submit $\lfloor 10000A \rfloor$.

Reach for the Summit problem set - Mathematics

×