Question

Signs of Trig Functions:

Answer 1

`\: \qquad \qquad\huge \underline{\boxed{\sf Answer}}`

The given condition is ~

`\qquad \sf  \dashrightarrow \: \sf \: \sin( \theta) < 0 \: \: and \: \: cos (\theta) < 0`

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 ~

`\qquad \sf  \dashrightarrow \: quadrant \: \: 4`