Question 1156807

if {{{tan(A)>0}}} and {{{(tan(A))(sin(A))>0}}}, in what quadrant does angle{{{ A}}} lie?

if {{{tan(A)>0}}},  means only if {{{sin(A)>0}}} this statement {{{(tan(A))(sin(A))>0}}} will be true


<a href="https://www.imageupload.net/image/xUFh1"><img src="https://imagehost.imageupload.net/2020/04/22/trig-functions.th.jpg" alt="trig-functions.jpg" border="0" /></a>


{{{sin(A)}}} is positive in {{{Q1}}} and {{{Q2}}}
{{{tan(A)}}} is positive in {{{Q1}}} and {{{Q3}}}

Therefore {{{A}}} must be in {{{Q1}}}.