Question 1178933

if {{{tan(a) = -2}}}, find the exact value of {{{sin(a)}}} and specify each possible quadrant



{{{tan(a) = opp/adj}}}

if {{{tan(a) = -2}}}=> {{{tan(a) = -2/1 }}}=>{{{ opp=-2}}} and {{{adj=1}}}

then 

{{{hyp=sqrt((-2)^2+1^2)}}}

{{{hyp=sqrt(5)}}}



 {{{sin(a)=opp/hyp}}}

{{{sin(a)=-2/sqrt(5)}}}


only possible quadrant is Quadrant IV, sine is negative {{{only}}} in Quadrant IV