Answer:
[tex] \csc( \alpha ) < 0[/tex]
=>
[tex] \frac{1}{ \sin( \alpha ) } < 0[/tex]
=>
[tex] \sin( \alpha ) < 0[/tex]
we also have:
[tex] \cot( \alpha ) < 0[/tex]
[tex] = > \frac{ \cos( \alpha ) }{ \sin( \alpha ) } < 0[/tex]
but sin < 0 (proven)
[tex] = > \cos( \alpha ) < 0[/tex]
=> angle theta is in the 3rd quadrant
Answer:
Quadrant IV (4)
Step-by-step explanation:
I did the test and the other person was wrong.
