IB Math HL Trigonometry Test 5 2016 P1 Q4

IB Math HL Trigonometry Test 5 2016 P1 Q4

IB Year 6 | Grade 12
6 marks
  1. Given that \(\arctan\frac12+\arctan\frac18=\arctan k\), find \(k\).[3]
  2. Hence find \(x=\arctan\frac12+\arctan\frac32+\arctan\frac18\).[3]

Solution:

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Answer:(a) \(k=\frac23\). (b) \(x=\frac{\pi}{2}\).

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