If \(\theta\) lies in third quadrant and \(\cos \theta=\frac{-3}{5}\) find the value of \(\tan \theta\).

If \(\theta\) lies in third quadrant and \(\cos \theta=\frac{-3}{5}\) find the value of \(\tan \theta\).
  1. \(\frac{2}{3}\)
  2. \(\frac{-2}{3}\)
  3. \(\frac{-4}{3}\)
  4. \(\frac{4}{3}\)

Solution

It is given that \(\theta\) lies in third quadrant and \(\cos \theta=-\frac{3}{5}\)
So, \(\tan \theta=\frac{4}{3}\) Hence, option (d) is correct.

Asked in: AP EAMCET 2020 (21 Sep Shift 2)

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