TS EAMCET · Maths · Inverse Trigonometric Functions
\(\operatorname{Sin}^{-1}(-\cos 2)+\operatorname{Cos}^{-1}(\sin 3)+\operatorname{Tan}^{-1}(\cot 5)=\)
- A \(7\)
- B \(5\)
- C \(\frac{\pi}{2}\)
- D \(\pi\)
Answer & Solution
Correct Answer
(C) \(\frac{\pi}{2}\)
Step-by-step Solution
Detailed explanation
\(\operatorname{Sin}^{-1}(-\cos 2) = \operatorname{Sin}^{-1}(\sin(2 - \frac{\pi}{2})) = 2 - \frac{\pi}{2}\) \(\operatorname{Cos}^{-1}(\sin 3) = \operatorname{Cos}^{-1}(\cos(3 - \frac{\pi}{2})) = 3 - \frac{\pi}{2}\)…
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