Question

given sin theta= -3/5 and csc theta= -5/3 in quadrant III, find the value of cos theta and sec theta

Answer 1

@perl

Answer 2

\[\sin(\theta)=-\frac{3}{5}\] means
\[\csc(\theta)=-\frac{5}{3}\] this is one piece of information not two

Answer 3

you have the world famous 3 - 4 - 5 right triangle in quadrant 3

Answer 4

you can take any trig ratio you like

Answer 5

@satellite73 so cos= -4/5 and sec= -5/4?