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

2 Answers
Aug 11, 2016

2nd Quadrant

Aug 11, 2016

QII.

Explanation:

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

Universal Set U will be [0,2π].

Let E={AU:sinA>0},and,F={AU:tanA<0}

Let Qi,i=I,II,III,andIVdenote ith Quadrant.

E=QIQII,and,F=QIIQIV

Then, the Reqd. Quadrant =EF

=(QIQII)(QIIQIV)

=QII(QIQIV)

=QIIϕ

=QII, as derived by, Deepak G. !

Enjoy Maths.!