Required step by step solution.
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Step-by-step explanation:
cot(A-B) = (cotAcotB + 1) / (cotB-cotA)
= (cotAcotB + 1)/y
from given tanA - tanB = x
1/cotA - 1/cotB = x
cotB - cotA = xcotAcotB
cotAcotB = y/x
put in equation
= (y/x + 1)/y
= ((x+y)/x)/y
= x+y/xy
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