JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumTrigonometry118× since 2002If π2≤x≤3π4\frac{\pi}{2} \leq x \leq \frac{3\pi}{4}2π≤x≤43π, then cos−1(1213cosx+513sinx)\cos^{-1} \left( \frac{12}{13} \cos x + \frac{5}{13} \sin x \right)cos−1(1312cosx+135sinx) is equal toAOption A. x−tan−143x - \tan^{-1} \frac{4}{3}x−tan−134BOption B. x+tan−145x + \tan^{-1} \frac{4}{5}x+tan−154COption C. x−tan−1812x - \tan^{-1} \frac{8}{12}x−tan−1128DOption D. x+tan−1412x + \tan^{-1} \frac{4}{12}x+tan−1124CheckStep-by-step hintSkip · show solution
