TS EAMCET · Maths · Trigonometric Ratios & Identities
If \(\sin \mathrm{A}=-\frac{60}{61}, \cot \mathrm{~B}=-\frac{40}{9}\) and neither A nor B is in \(4^{\text {th }}\) quadrant then \(6 \cot A+4 \sec B=\)
- A \(\frac{26}{5}\)
- B \(-\frac{26}{5}\)
- C \(-3\)
- D \(3\)
Answer & Solution
Correct Answer
(C) \(-3\)
Step-by-step Solution
Detailed explanation
\(\sin \mathrm{A}=-\frac{60}{61}\) in Q3 \(\Rightarrow \cot \mathrm{A}=\frac{-\sqrt{1-\left(-\frac{60}{61}\right)^2}}{-\frac{60}{61}}=\frac{-\frac{11}{61}}{-\frac{60}{61}}=\frac{11}{60}\) \(\cot \mathrm{B}=-\frac{40}{9}\) in Q2…
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