Question 1177061

{{{(1 + sec(x))/(tan(x) + sin(x) )= csc(x)}}}........use identities {{{sec(x)=1/cos(x)}}} and {{{tan(x) =sin(x)/cos(x)}}}


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


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


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


{{{1/sin(x)= csc(x)}}}.....use identity {{{csc(x)=1/sin(x)}}}


{{{csc(x)=csc(x)}}}