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SASMO 2022 Grade 10 Question 22

SASMO · SASMO 2022 Grade 10

Question 22

Find the minimum value of $$(3\sin x+4\cos x-16)(3\sin x-4\cos x-16).$$

Interpretation: x ranges over all real angles; radians are used when describing the equality cases.

Answer format: enter the integer answer without units. Leading zeros are optional; the original paper uses four-digit boxes.