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AIMO 2021 Senior secondary — Preliminary (Open Trial 1) Question 2

AIMO · AIMO 2021 Senior secondary — Preliminary (Open Trial 1)

Question 2

Using $\tan(A-B)=\frac{\tan A-\tan B}{1+\tan A\tan B}$, express $\tan15^\circ$ in surd form.
  1. $2-\sqrt3$
  2. $2+\sqrt3$
  3. $\sqrt3$
  4. $1+\sqrt3$