Question

From the given figure,find the value of tan A+Cot C

Answer 1

tan A + cot C = BC/BA + BC/BA
                      = 2 * BC/BA
                      = 2 * 5/12
                      = 5/6                                     ans..

Answer 2

$bc = \sqrt{ {13}^{2} - {12}^{2} } = 5 \\ \tan(a) = \frac{bc}{ab} = \frac{5}{12} \\ \cot(c) = \frac{bc}{ab} = \frac{5}{12} \\ \tan(a) + \cot(c) = \frac{5}{12} + \frac{5}{12} = \frac{10}{12} = \frac{5}{6}$