Question 1075850


{{{2cos(x)=3tan(x)}}}............recall that {{{tan(x)=sin(x)/cos(x)}}}

 {{{2cos(x)=3sin(x)/cos(x)}}}

 {{{2cos(x)*cos(x)=3sin(x)}}}

 {{{2cos^2(x)=3sin(x)}}}..........recall that {{{cos^2(x)=1-sin^2(x)}}}

{{{2(1-sin^2(x))=3sin(x)}}}

{{{2 -2sin^2(x)=3sin(x)}}}

{{{2 =2sin^2(x)+3sin(x)}}}

{{{2sin^2(x)+3sin(x)-2=0}}}