Q23 of 90 Page 7

If tanA + tanB =A And CotA + CotB =B, prove that: cot(A +B) = 1/a – 1/b.

Given tanA + tanB =A And cotA + cotB =B


Consider cotA + cotB =B




Then,


RHS





We know that


= cot(A +B) = LHS


Hence, proved.


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