MCQ
$tan \left[cos^{-1}\frac{1}{2\sqrt{5}}-sin^{-1}\frac{4}{\sqrt{17}}\right]=............$
- A$\frac{\sqrt{29}}{3}$
- B$\frac{{29}}{3}$
- C$\frac{\sqrt{3}}{29}$
- ✓$\frac{{3}}{29}$
$\tan\left[\cos^{-1}\frac{1}{5\sqrt{2}}-\sin^{-1}\frac{4}{\sqrt{17}}\right]$
$=\tan [\tan^{-1}7-\tan^{-1}4]$
$\sin^{-1}x=\tan^{-1}\frac{x}{\sqrt{1-x^2}},\cos^{-1}=\tan^{-1}\frac{\sqrt{1-x^2}}{x}$
$=\tan \left(\tan^{-1}\left(\frac{7-4}{1+28}\right)\right)$
$=\frac{3}{29}$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.