ત્રિકોણમિતીય પ્રતિવિધેયો — ગણિત ધોરણ 12 સાયન્સ — Question

‎ $\cot \left( cosec^{-1} \frac {5}{3} + \tan^{-1} \frac{2}{3} \right)$

$\therefore \cot \left( \sin^{-1} \frac {3}{5} + \tan^{-1} \frac{2}{3} \right)$

$\therefore \cot \left( \tan^{-1} \frac {3}{4} + \tan^{-1} \frac{2}{3} \right)$

$\therefore \cot \left( \tan^{-1} \left(\frac {\frac {3}{4}+\frac{2}{3}}{1-\frac{6}{12}}\right) \right)$

$\therefore \cot \left( \tan^{-1}\left(\frac{17}{6}\right) \right)$

$\therefore \cot \left( \cot^{-1}\left(\frac{6}{17}\right) \right)$

$\therefore \frac{6}{17}$