Sin x+siny/sinx-sin=tan x+y/2 cot x-y/2
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tan(x+y/2)cot(x−y/2)
=sin(x+y/2)cos(x−y/2)cos(x+y/2)sin(x−y/2)
divide and multiply by 2
=2sin(x+y/2)cos(x−y/2)2cos(x+y/2)sin(x−y/2)
use sinx+siny = 2sin(x+y/2)cos(x−y/2), sinx−siny =2cos(x+y/2)sin(x−y/2)
= sinx+siny/sinx−siny
tan(x+y/2)cot(x−y/2)
sinx + siny / sinx - siny
this answer is correct,
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