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(cotA+cosecA-1)/(cotA-cosecA+1)=?
Dear Vishnu
[cotA+(cosecA-1)] [cotA-(cosecA-1)]
=cot2A - (cosecA-1)2
=cot2A- cosec2A + 2cosecA -1
=-1+2cosecA -1= 2cosecA -2
All the best.
AKASH GOYAL
AskiitiansExpert-IIT Delhi
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cotA = cosA/sinA , cosecA = 1/sinA
after putting these expression becomes
(cosA + 1 - sinA)/(cosA + sinA + 1)
now , put cosA = 2cos2(A/2) - 1 in numerator & [ using cos2a = 2cos2a-1 or 1-2sin2a ]
cosA = 1 - 2sin2(A/2) in denominator
now expression becomes
= 2cos(A/2)/2sin(A/2)
= cot(A/2)
approve my ans if u like it
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