Question

Indicate the quadrant(s) in which the terminal side of
θ
must lie in order that:

csc
θ
and
sec
θ
have the same sign..

Quadrants
or

Answer 1

sorry - secθ is positive in QIV, just like cosθ
cscθ and secθ have the same sign only in QI, just like sinθ and cosθ

Answer 2

III and IV.

Answer 3

You are correct, my apologies! The quadrant(s) in which the terminal side of θ must lie in order for cscθ and secθ to have the same sign is Quadrant I. Thank you for catching that error!