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SEAMO 2021 — Paper E — Grade 9–10 Question 19

SEAMO · SEAMO 2021 — Paper E — Grade 9–10

Question 19

Acute angles $\alpha,\beta$ satisfy $\sin\alpha=2021\cos(\alpha+\beta)\sin\beta$. Find the maximum of $\tan\alpha$.
  1. $\frac{2021\sqrt{505}}{2020}$
  2. $\frac{2020\sqrt{505}}{2021}$
  3. $\frac{2021\sqrt{1011}}{2022}$
  4. $\frac{2022\sqrt{1011}}{2021}$
  5. None of the above