#cotO/<0 and sinO/>0# determine the quadrant in which the terminal side of #O/# lies?

Determine the quadrant in which the terminal side of #O/# lies?

1 Answer
Apr 18, 2018

#II^(nd) Quadrant#

Explanation:

Here,

#cotphi < 0 andsin phi > 0#

#=>tan phi < 0and sin phi > 0#

Now,

#tan phi < 0=>color(red)(II^(nd)Quadrant) andIV^(th)Quadrant#

#sin phi > 0=>I^(st) Quadrant and color(red)(II^(nd) Quadrant)#

i.e. #color(red)(II^(nd) Quadrant#