Determine the Quadrant in Which the Terminal Side of theta Lies :
Here we are going to see, how to determine the quadrant in which the terminal side of theta lies.
Question 1 :
In which quadrant does the terminal arm of each angle in standard position lie?
(a) 48° (b) 300° (c) 185° (d) 75° (e) 220° (f) 160°
The angle 48 degree is greater than 0 and lesser than 90. So, it lies in the 1st quadrant.
185 lies between 270 and 300. Hence the terminal arm lies in 4th quadrant.
185 lies between 180 and 270. Hence the terminal arm lies in 3rd quadrant.
75 lies between 0 and 90. Hence the terminal arm lies in 1st quadrant.
220 lies between 180 and 270. Hence the terminal arm lies in 3rd quadrant.
160 lies between 90 and 180. Hence the terminal arm lies in 2nd quadrant.
Question 2 :
Sketch an angle in standard position with each given measure.
(a) 70° (b) 310° (c) 225° (d) 165°
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