IB Math HL Trigonometry Test 6 2018 P2 Q6

IB Math HL Trigonometry Test 6 2018 P2 Q6

IB Year 6 | Grade 12
6 marks
  1. Show that \(\sin A+\sin B=2\sin(\frac{A+B}{2})\cos(\frac{A-B}{2})\).[4]
  2. Hence find the exact value of \(\sin(\frac{75^\circ}{2})\cos(\frac{15^\circ}{2})\).[2]

Solution:

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Answer:(b) \(\frac{\sqrt2+1}{4}\).

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