State the quadrant in which θ lies.

Question

1.) CSC θ is greater than 0 and TAN θ is
less than 0.

2.) SEC θ is greater than 0 and SIN θ is
less than 0.

Answer 1

if cscØ > 0 , then sinØ > 0

the sine is + in I and II , by the CAST rule
the tangent is - in II and IV , by the CAST rule
so Ø in in II

so the 2nd question the same way. ( IV )