Question

If \(\text{cosec } t + \cot t = \frac{5}{2}\), then the value of \(\tan t\) is equal to

• A. \(\frac{10}{21}\)
• B. \(\frac{21}{20}\)
• C. \(\frac{20}{21}\)
• D. \(\frac{21}{10}\)
• E. \(\frac{10}{42}\)

Hint:

The pairs \((\text{cosec } \theta + \cot \theta)\) and \((\text{cosec } \theta - \cot \theta)\) are reciprocals of each other. The same property holds for \((\sec \theta + \tan \theta)\) and \((\sec \theta - \tan \theta)\).

Answer 1

The Correct Option is C