Question 763429

{{{csc (x) + cot (x)}}}

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

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

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

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

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

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

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