Evaluate each of the following: tan 45°/cosec 30° + sec 60°/cot 45° - 5sin 90°/2 cos 0°

Question

Evaluate each of the following:

\(\frac{tan45°}{cosec30°}\) + \(\frac{sec60°}{cot45°}\) - \(\frac{5sin90°}{2cos0°}\)

Answer 1

 \(\frac{tan45°}{cosec30°}\) + \(\frac{sec60°}{cot45°}\) - \(\frac{5sin90°}{2cos0°}\)

= \(\frac{1}2\) + \(\frac{2}1\) - \(\frac{5\times1}{2\times1}\)

= \(\frac{1}2\) + 2 - \(\frac{5}2\) = 0