Question 1181657

 {{{(cos(x) tan(x))/(sin(x)+cos(x) )= tan(x)/(1+tan(x))}}}


start with right side


{{{tan(x)/(1+tan(x))}}}


={{{(sin(x)/cos(x))/(1+sin(x)/cos(x))}}}


={{{(sin(x)/cos(x))/((cos(x)+sin(x))/cos(x))}}}


={{{(cos(x)*(sin(x)/cos(x)))/(cos(x)+sin(x))}}}


={{{(cos(x)*tan(x))/(sin(x)+cos(x))}}}