Question 1044121
evaluate {{{2tan^2(300)+3sin^2(150)-cos^2(180)}}}

{{{tanx=(sinx)/(cosx)}}}
{{{sin300=-sin60=-sqrt(3)/(2)}}}
{{{cos300=cos60=(1)/(2)}}}
{{{cos180=-1}}}
{{{sin150=sin30=0.5}}}


{{{2tan^2(300)+3sin^2(150)-cos^2(180)}}}
{{{2(sin^2(300))/(cos^2(300))+3sin^2(150)-cos^2(180)}}}
{{{2(((-sqrt(3)/(2))^2))/((0.5)^2)+3(0.5)^2-(-1)^2}}}

{{{5.75}}}
as fraction
{{{23/4}}}