IB Math HL Trigonometry Test 3 2014 P2 Q5

IB Math HL Trigonometry Test 3 2014 P2 Q5

IB Year 6 | Grade 12
6 marks
  1. Using \(\sin(A+B)\) and suitable double-angle identities, prove \(\sin3\theta=3\sin\theta-4\sin^3\theta\).[4]
  2. Given that \(\sin3\theta=1\), find the possible values of \(\sin\theta\).[2]

Solution:

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Answer:(b) \(\sin\theta=-1\) or \(\frac12\).

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