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SMO 2023 Senior Round 1 Question 2

SMO · SMO 2023 Senior Round 1

Question 2

Which of the following is true?
  1. $\sin105^\circ-\cos105^\circ=\sqrt3/2$
  2. $\sin105^\circ-\cos105^\circ=\sqrt3/\sqrt2$
  3. $\sin105^\circ+\cos105^\circ=1/2$
  4. $\sin105^\circ+\cos105^\circ=1/\sqrt3$
  5. None of the above.