ANALYTIC 



VM. Ill 



(6) Given the equation y = tan z, to finil its locus. By means of a table 

 of natural " tangents it is seen that this equation is satisfied by the 

 following pairs of values of z and y : 



The corresponding points are : 



P! = (O, 0), 7> s =(0.17, 0.18), P 9 = (0.35, 0.30), etc., 

 and the locus is approximately as shown in Fig. 19. 

 Y 



+ 27T 



/ -V 



Fio.19. 



34. Loci by polar coordinates. Analogous results are obtained for a 

 yttera of polar coordinates, as will be best seen from an example. 

 Given the equation p = 4 cot 0, to find it* locus. 



