In which quadrant must theta lie if it satisfies the following inequalities:
sin(theta)<0, sin(theta)cos(theta)>0
I'm at a loss as to how to solve this. Could someone please push me in the right direction?
Thank you!
In which quadrant must theta lie if it satisfies the following inequalities:
sin(theta)<0, sin(theta)cos(theta)>0
I'm at a loss as to how to solve this. Could someone please push me in the right direction?
Thank you!
$\displaystyle \sin(\theta)<0, \sin(\theta)\cos(\theta)>0$
to keep $\displaystyle \sin(\theta), $ negative it has to stay in Q3 or Q4
however once $\displaystyle \cos(\theta)$ goes into Q4 (-)(+) then the $\displaystyle \sin(\theta)\cos(\theta) $goes negative
so that leaves just Q3 (-)(-)