TS EAMCET · Maths · Trigonometric Ratios & Identities
If \(\tan \alpha=\frac{-12}{5}, \cot \beta=\frac{7}{24}, \alpha\) does not belong to second quadrant and \(\beta\) does not belong to first quadrant, then \(\sqrt{13} \sin \frac{\alpha}{2}+\cos \frac{\beta}{2}+\tan \frac{\alpha}{2} \cot \frac{\beta}{2}=\)
- A \(\frac{31}{10}\)
- B \(\frac{19}{10}\)
- C \(\frac{21}{10}\)
- D \(\frac{-9}{10}\)
Answer & Solution
Correct Answer
(B) \(\frac{19}{10}\)
Step-by-step Solution
Detailed explanation
\(\tan \alpha=\frac{-12}{5} \Rightarrow \alpha\) belongs to 4 th quadrant \(\cot \beta=\frac{7}{24} \Rightarrow \beta\) belongs to 3rd quadrant…
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