If sin A > 0 and tan A < 0, then A is in what quadrant?

Question

5412 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-11T17:36:11

Aug 11, 2016

#2#nd Quadrant

Answer 2 · 2016-08-11T18:02:12

#Q_(II)#.

As we want to determine the Quadrant of #A#, in what follows our

Universal Set #U# will be #[0,2pi]#.

Let #E={A in U : sinA>0}, and, F={A in U : tanA<0}#

Let #Q_i, i=I,II, III, and IV#denote #i^(th)# Quadrant.

#rArr E=Q_IuuQ_(II), and, F=Q_(II)uuQ_(IV)#

Then, the Reqd. Quadrant #=EnnF#

#=(Q_IuuQ_(II))nn(Q_(II)uuQ_(IV))#

#=Q_(II)uu(Q_InnQ_(IV))#

#=Q_(II)uuphi#

#=Q_(II)#, as derived by, Deepak G. !

Enjoy Maths.!