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CBSE Class 11-science Answered

if tanx+tany=a and cotx+coty=b prove that cot(x+y)=(1/a)-(1/b)
Asked by Aarthi Vishwanathan | 01 Jun, 2012, 08:43: PM
answered-by-expert Expert Answer
R.H.S.= 1/a - 1/b
= 1/ tanx+tany - 1/ coty+cotx
= cosx cosy/ sinx cosy + cosx siny - sinx siny/ sinx cosy + cosx siny
= cosxcosy-sinxsiny/ sinxcosy+cosxsiny 
= cos (x+y)/ sin(x+y)
= cot (x+y) 
= L.H.S.
Answered by | 03 Jun, 2012, 04:08: PM
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