Question

if 3 tan theta =2 find sin theta + cos theta/ sin theta-cos theta​

Answer 1

$3tan \theta = 2 \\ tan \theta = \frac{2}{3} \\ \\ \frac{sin \theta + cos \theta}{sin \theta - cos \theta} \\ = \frac{tan \theta + 1}{tan \theta - 1} \\ = \frac{ \frac{2}{3} + 1} {\frac{2}{3} - 1} \\ = \frac{2 + 3}{2 - 3} \\ = - 5$