[tex]\: \qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The given condition is ~
[tex]\qquad \sf \dashrightarrow \: \sf \: \sin( \theta) < 0 \: \: and \: \: cos (\theta) < 0[/tex]
This arrangement is only possible for third quadrant where, values of sin x, cos x, cosec x, and sec x are negative where as tan x and cot x are positive.
Therefore, the correct choice is ~
[tex]\qquad \sf \dashrightarrow \: quadrant \: \: 4[/tex]
