Ratios of inverse trigonometric values in degrees

Ratios of inverse trigonometric values in degrees

IB Year 6 | Grade 12

Find the exact value of each of the following, giving your answers in degrees where angles appear.

  1. \(\dfrac{\cos^{-1}\left(-\dfrac{1}{2}\right)}{\sin^{-1}\dfrac{1}{2}}\)
  2. \(\dfrac{\tan^{-1}\left(-\sqrt{3}\right)}{\tan^{-1}1}\)
  3. \(\dfrac{\sin^{-1}\left(-\dfrac{\sqrt{2}}{2}\right)}{\cos^{-1}0}\)

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Answer:(a) \(4\) (b) \(-\frac{4}{3}\) (c) \(-\frac{1}{2}\)

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