Question 58223
{{{(sinx/(1+cosx))+(sinx/(1-cosx))}}}  The LCD is (1+cos(x))(1-cos(x))
{{{sin(x)(1-cos(x))/((1+cos(x))(1-cos(x)))+sin(x)(1+cos(x))/((1+cos(x))(1-cos(x)))}}}
{{{(sin(x)-sin(x)cos(x)+sin(x)+sin(x)cos(x))/(1-cos^2(x))}}}
{{{2sin(x)/(1-cos^2(x))}}}
{{{2sin(x)/(sin^2(x))}}}  Pythagorean identity
{{{2/(sin(x))}}}  Cancel the sin(x)
{{{2csc(x)}}}  reciprocal identity
Happy Calculating!!!