Finding Trigonometric Ratios

Finding Trigonometric Ratios

Given that \(\cos \theta = \frac{2}{7}\) 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:(a) \(\frac{7}{2}\) (b) \(\frac{2\sqrt{5}}{15}\) (c) \(\frac{7\sqrt{5}}{15}\)

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