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Question

πm1tan1(2mm4+m2+2) is equal to


A
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B
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C
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D

None of these

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Solution

The correct option is A
We have πm1tan1(2mm4+m2+2)
=πm1tan1(2m1+(m2+m+1)(m2m+1))=πm1tan1((m2+m+1)(m2m+1)1+(m2+m+1)(m2m+1))=πm1[tan1(m2+m+1)tan1(m2m+1)]=(tan13tan1)+(tan17tan13)+(tan113tan17)+.....+[tan1(n2+n+1)](tan1(n2+n+1)tan1(n2+n2+n2+n)


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