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Question: Answered & Verified by Expert
If \(\theta\) lies in third quadrant and \(\cos \theta=\frac{-3}{5}\) find the value of \(\tan \theta\).
MathematicsTrigonometric Ratios & IdentitiesAP EAMCETAP EAMCET 2020 (21 Sep Shift 2)
Options:
  • A \(\frac{2}{3}\)
  • B \(\frac{-2}{3}\)
  • C \(\frac{-4}{3}\)
  • D \(\frac{4}{3}\)
Solution:
2118 Upvotes Verified Answer
The correct answer is: \(\frac{4}{3}\)
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.

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