SAT1000 - P276

Geometry Level pending

If tanα=2tanπ5\tan \alpha=2 \tan \dfrac{\pi}{5}, find

cos(α3π10)sin(απ5)\large \frac{\cos\left(\alpha-\frac{3\pi}{10}\right)}{\sin \left(\alpha-\frac{\pi}{5}\right)}

Let AA denote the answer. Submit 1000A\lfloor 1000A \rfloor.


Have a look at my problem set: SAT 1000 problems

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