Question 685561
tan(x/2) + cot(x/2) = 
{{{(sin(x/2)) / (cos(x/2)) + (cos(x/2)) / (sin(x/2))}}} =


{{{((sin(x/2))^2 / (sin(x/2)cos(x/2))) + ((cos(x/2))^2 / (cos(x/2)sin(x/2)))}}} =



{{{(sin^2(x/2)+cos^2(x/2)) / (cos(x/2)sin(x/2))}}}=
{{{1 / (cos(x/2)sin(x/2))}}} = 
{{{2 / (2cos(x/2)sin(x/2))}}} = 
{{{2 / sin(x) }}}= 
2csc(x)