IB Math HL Trigonometry Test 2 2013 P1 Q5

IB Math HL Trigonometry Test 2 2013 P1 Q5

IB Year 6 | Grade 12
7 marks
  1. Write down the domain and range of \(f(x)=\arctan x\).[2]
  2. Find \(\arctan(-\frac13)+\arctan(-\frac12)\).[3]
  3. Find \(\arctan(-2)+\arctan(-\frac12)\).[2]

Solution:

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Answer:(a) Domain \(\mathbb R\), range \((-\frac{\pi}{2},\frac{\pi}{2})\). (b) \(-\frac{\pi}{4}\). (c) \(-\frac{\pi}{2}\).

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