DETERMINE THE QUADRANT IN WHICH THE TERMINAL SIDE OF THETA LIES

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.

Determine the Quadrant in Which the Terminal Side of theta Lies - Examples

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°

Solution :

(a) 48°

The angle 48 degree is greater than 0 and lesser than 90. So, it lies in the 1st quadrant.

(a) 300°

185 lies between 270 and 300. Hence the terminal arm lies in 4th quadrant.

(c) 185°   

185 lies between 180 and 270. Hence the terminal arm lies in 3rd quadrant.

(d) 75° 

75 lies between 0 and 90. Hence the terminal arm lies in 1st quadrant.

(e) 220° 

220 lies between 180 and 270. Hence the terminal arm lies in 3rd quadrant.

(f) 160°

160 lies between 90 and 180. Hence the terminal arm lies in 2nd quadrant.

Draw the Angle with the Given Measure in Standard Position

Question 2 :

Sketch an angle in standard position with each given measure. 

(a) 70°      (b) 310°        (c) 225°        (d) 165°

Solution :

(a) 70°     

(b) 310°      

(c) 225°  

(d) 165°

After having gone through the stuff given above, we hope that the students would have understood "Determine the Quadrant in Which the Terminal Side of theta Lies". 

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