Question 905055
{{{(sin(x)+cos(x))^2=(sin(x)+cos(x))(sin(x)+cos(x))}}}
Distribute,
{{{(sin(x)+cos(x))^2=(sin(x)+cos(x))*sin(x)+(sin(x)+cos(x))*cos(x)}}}
{{{(sin(x)+cos(x))^2=sin^2(x)+cos(x)*sin(x)+sin(x)cos(x)+cos^2(x)}}}
{{{(sin(x)+cos(x))^2=sin^2(x)+2sin(x)cos(x)+cos(x)^2}}}
{{{(sin(x)+cos(x))^2=sin^2(x)+cos^2(x)+2sin(x)cos(x)}}}
{{{(sin(x)+cos(x))^2=1+2sin(x)cos(x)}}}