Question 1056115
First value tells you that {{{cosine(x)/sin(x)<0}}} and that means quadrant 2 or quadrant 4.  Second part, {{{cosine(x)>0}}} means quadrant 1 or quadrant 4.  The conclusion to make for what is common, is x is in quadrant 4.


You can draw a simple right triangle with radius endpoint in the quadrant 4 to help you further.  Radius, or hypotenuse, is 1; horiZontal coordiante 2*k; vertical component or coordinate -1*k.  You can also say,  {{{tan(x)=-1/2}}}.


x is arc whose tangent is negative one-half.