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1984 AMC 12 Question 15

AMC12 · 1984 AMC 12

Question 15

If $\sin2x\sin3x=\cos2x\cos3x,$ then one value for $x$ is
  1. $18^\circ$
  2. $30^\circ$
  3. $36^\circ$
  4. $45^\circ$
  5. $60^\circ$