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Without using calculator, Find $\dfrac{\cos 10 \degree}{\tan 20 \degree}+\sqrt{3} \sin 10 \degree \tan 70 \degree - 2 \cos 40 \degree$.

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

Have a look at my problem set: SAT 1000 problems

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