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Question: Answered & Verified by Expert
If $\sin \theta=\frac{24}{25}$ and $\theta$ lies in the second quadrant, then $\operatorname{sec} \theta+\tan \theta=$
MathematicsTrigonometric Ratios & IdentitiesJEE Main
Options:
  • A -3
  • B -5
  • C -7
  • D -9
Solution:
2851 Upvotes Verified Answer
The correct answer is: -7
$\begin{aligned}
\sin \theta=\frac{24}{25} \Rightarrow \cos \theta & =\frac{-7}{25}, \tan \theta=\frac{-24}{7} \\
\therefore \quad \sec \theta+\tan \theta & =\frac{-25}{7}+\frac{-24}{7}=-7
\end{aligned}$

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