IB Math HL Trigonometry Test 4 2015 P1 Q3

IB Math HL Trigonometry Test 4 2015 P1 Q3

IB Year 6 | Grade 12
8 marks

Consider \(f(x)=|\csc(\pi x)|\).

  1. Sketch \(y=\sin(\pi x)\) for \(0\le x\le4\).[3]
  2. On the same diagram sketch \(y=f(x)\), clearly indicating the equations of all asymptotes.[3]
  3. Solve \(f(x)=1\) for \(0\le x\le4\).[2]

Solution:

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Answer:(c) \(x=\frac12,\frac32,\frac52,\frac72\).

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