Question 773389: "If tangent of theta equals Y/X, then find the value of theta for the ordered pair (-3, 5), and specify in which quadrant theta lies."
I was told NOT to use a calculator, so I tried plugging in the coordinates for X and Y, but I didn't know what to do from there...help!!
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
he value of theta for the ordered pair ( , )
 °
if  , then the terminal side of ( theta) (the angle) lies in quadrant 
recall:
Quadrant  is 0°-90°,
Quadrant is 90°-180°,
Quadrant  is 180°-270°, and
Quadrant  is 270°-360°
0 -90 degrees is the  x-axis and the y-axis
90-180 degrees is the  x-axis and the y-axis
180- 270 degrees is the x-axis and the y-axis
360 degrees, of course, is full circle and again the x-axis (like 0 degrees) and the y-axis
since given (,), you know that  is negative and  , your answer is Quadrant
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