Q. Cos $\lbrack\tan^{- 1}{\left\{ \sin{(\cot^{- 1}{x)}} \right\}\ \rbrack\ }$is equal to
A) $\sqrt{\frac{x^{2} + 2}{x^{2} + 3}}$
B) $\sqrt{\frac{x^{2} + 2}{x^{2} + 1}}$
C) $\sqrt{\frac{x^{2} + 1}{x^{2} + 2}}$
D) None of these
Explanation
The correct answer is Option C: $\sqrt{\frac{x^{2} + 1}{x^{2} + 2}}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.