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Trigonometry - Exact Trigonometric Values and the Unit Circle

Trigonometry - Exact Trigonometric Values and the Unit Circle

Given that \(\tan \theta = \frac{4}{5}\) and \(\theta\) is acute, without using a calculator, find,

  1. \(\sec \theta\),
  2. \(\cot \theta\),
  3. \(\textbf{cosec} \theta\),

exactly.

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Answer:(i) \(\frac{\sqrt{41}}{5}\) (ii) \(\frac{5}{4}\) (iii) \(\frac{\sqrt{41}}{4}\)

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