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SMO 2014 Senior Round 1 Question 7

SMO · SMO 2014 Senior Round 1

Question 7

Find the largest number among the following numbers:
  1. $\tan47^\circ+\cos47^\circ$
  2. $\cot47^\circ+\sqrt2\sin47^\circ$
  3. $\sqrt2\cos47^\circ+\sin47^\circ$
  4. $\tan47^\circ+\cot47^\circ$
  5. $\cos47^\circ+\sqrt2\sin47^\circ$