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AIMO 2021 Secondary 3 — Preliminary (Open Trial 1) Question 3

AIMO · AIMO 2021 Secondary 3 — Preliminary (Open Trial 1)

Question 3

If $\sin x+\cos x=\frac12$, find $\sin x\cos x$.
  1. $3/8$
  2. $-3/8$
  3. $3/4$
  4. $-3/4$