23. If tan A + tan B = a and cot A + cot B = b, prove that: cot (A + B – InterviewSolution

1.	23. If tan A + tan B = a and cot A + cot B = b, prove that: cot (A + B) =.
Answer» TanA + tanB = A --------(I) & cotA + cotB = B-------(II)or from (I) 1/cotA + 1/cotB =Aor { cotA + cotB}/cotA cotB = Aor B/cotA cotB = Aor cotA cotB = B/A-------------------------------------...so cot( A+B ) =cotA * cotB -1/ cotA+ cotB= { B/A -1}/B= 1/A - 1/B

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