Question 1174797
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Theta is the greek letter often used with angles
The symbol for theta is {{{theta}}}


If we know that {{{csc(theta) > 0}}}, then this also means that {{{sin(theta) > 0}}} because {{{csc(theta) = 1/(sin(theta))}}}
csc is shorthand for "cosecant"


Because {{{sin(theta) > 0}}}, and {{{y = sin(theta)}}}, this makes y > 0 and it places our angle somewhere in quadrant I or quadrant II. This is where the terminal point has a positive y coordinate. It's somewhere above the x axis.


Furthermore, if {{{cos(theta) > 0}}} and {{{x = cos(theta)}}}, then x > 0 tells us we're somewhere to the right of the y axis where x is positive. 


So with x > 0 and y > 0, we know that the terminal point (x,y) is somewhere in quadrant I. This is the northeast quadrant, ie the upper-right quadrant.


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Answer: Quadrant I
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