IB Math HL Trigonometry Test 4 2015 P1 Q2

IB Math HL Trigonometry Test 4 2015 P1 Q2

IB Year 6 | Grade 12
6 marks
  1. Show that \(\frac{\sin2x+\sin x}{\cos2x+\cos x+1}=\tan x\).[3]
  2. Solve \(\sin2x+\sin x=\cos2x+\cos x+1\) for \(0\le x\le2\pi\).[3]

Solution:

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Answer:(b) \(x=\frac{\pi}{4},\frac{2\pi}{3},\frac{5\pi}{4},\frac{4\pi}{3}\).

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