Mister Exam

tga+ctgb/ctga+tgb=tga+ctgb canonical form

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          cot(b)             
-cot(b) + ------ + tan(b) = 0
          cot(a)             
$$\tan{\left(b \right)} - \cot{\left(b \right)} + \frac{\cot{\left(b \right)}}{\cot{\left(a \right)}} = 0$$
tan(b) - cot(b) + cot(b)/cot(a) = 0