IB Math HL Trigonometry Test 7 2018 P1 Q10

IB Math HL Trigonometry Test 7 2018 P1 Q10

IB Year 6 | Grade 12
15 marks
  1. Show that \(\sin3x=3\sin x-4\sin^3x\).[3]
  2. Solve \(\sin3x=2\sin x\) for \(0\le x\le\pi\).[5]
  3. Solve \(3\sin x-4\sin^3x=\frac{\sqrt3}{2}\) for \(0\le x\le\pi\).[5]
  4. Find \(0.75\sin10^\circ-\sin^310^\circ\).[2]

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Answer:(b) \(x=0,\frac{\pi}{6},\frac{5\pi}{6},\pi\). (c) \(x=\frac{\pi}{9},\frac{2\pi}{9},\frac{7\pi}{9},\frac{8\pi}{9}\). (d) \(\frac18\).

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