IB Math HL Trigonometry Test 2 2013 P1 Q4

IB Math HL Trigonometry Test 2 2013 P1 Q4

IB Year 6 | Grade 12
7 marks

Consider \(f(x)=3\csc(2x)\).

  1. Sketch \(y=\sin2x\) for \(0\le x\le2\pi\).[2]
  2. On the same axes, sketch \(y=f(x)\), indicating all asymptotes.[3]
  3. Solve \(|f(x)|=3\) for \(0\le x\le2\pi\).[2]

Solution:

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Answer:(c) \(x=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\).

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