Question

if tan teta =a/b find the value of cos teta + sin teta /cos teta -sin teta

Answer 1

$\tan(x) = \frac{a}{b} \\ \frac{ \cos(x) + \sin(x) }{ \cos(x) - \sin(x) } \\ dividing \: throughout \: with \: \cos(x) \\ \\ \frac{1 + \tan(x) }{1 - \tan(x) } \\ \frac{1 + \frac{a}{b} }{1 - \frac{a}{b} } \\ \frac{b + a}{b - a}$

This is the required answer. Hope it helps.