Finding Trigonometric Ratios

Finding Trigonometric Ratios

Given that \(\sec \theta = \frac{7}{3}\) and \(\theta\) is acute, without using a calculator, find,

  1. \(\sec \left( \frac{\pi}{2} - \theta \right)\),
  2. \(\cot \left( \frac{\pi}{2} - \theta \right)\),
  3. \(\textbf{cosec} \theta\),

exactly.

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Answer:(i) \(\frac{7\sqrt{10}}{20}\) (ii) \(\frac{2\sqrt{10}}{3}\) (iii) \(\frac{7\sqrt{10}}{20}\)

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