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Exact values of a sum of inverse tangents and compositions of inverse trigonometric functions

Exact values of a sum of inverse tangents and compositions of inverse trigonometric functions

IB Year 6 | Grade 12
6 marks

Find the exact value of each of the following.

  1. \(\arctan2+\arctan3\)[4]
  2. \(\cos(\arccos(-0.35))\)[1]
  3. \(\arcsin\left(\sin\frac{5\pi}{6}\right)\)[1]

Solution:

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Answer:(a) \(\frac{3\pi}{4}\) (b) \(-0.35\) (c) \(\frac{\pi}{6}\)

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