In which quadrant does theta lie if the following statements are true? Secant theta > 0 and (cos theta)(tan theta)<0

Answer 1

Secant is +(>0) where cosine is + which is in quadrant 1 and 4

(cos)(tan) can be simplified (cos)(tan)= (cos) x (sin)/(cos) = sin

Sin is negative (<0) in quadrant 4 so your answer is quadrant 4