cotA + cotB + cotC = cotA cotB cotC (1 + secAsecBsecC)

= cotA cotB cotC + (cotA cotB cotC)(secAsecBsecC)

= cotA cotB cotC + (cos A/sin A)(cos B/sin B)(cos C/sin C)(1/(cosA cos B cos C))

cotA + cotB + cotC = (cot A cot B cot C) + (csc A csc B csc C)

= (cot A cot B cot (pi - A - B)) + (csc A csc B csc (pi - A - B))

= ?