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Trigonometry - Exact Trigonometric Values and the Unit Circle

Trigonometry - Exact Trigonometric Values and the Unit Circle

TGM Original Questions

Without using a calculator, find the exact value of each of the following.

  1. \(\tan \left(-\frac{5 \pi}{2}\right)\)
  1. \(\operatorname{cosec}\left(-\frac{5 \pi}{3}\right)\)
  1. \(\sec \frac{5 \pi}{3}\)
  1. \(\cot \frac{7 \pi}{4}\)

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Answer:(i) undefined (ii) \(2\) (iii) \(\frac{2\sqrt3}{3}\) (iv) \(-1\)

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