Reach for the Summit - M-S2-A2

Geometry Level 4

Without using a calculator, find the value of:

(sec50°+tan10°)(cos2π7+cos4π7+cos6π7)(tan6°tan42°tan66°tan78°)(\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 AA denote the value. Submit 10000A\lfloor 10000A \rfloor.


Reach for the Summit problem set - Mathematics

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