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Question

If h(x)=log10x then the value of 89n=1h(tanno)=

A
1
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B
0
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C
1
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D
None of the above
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Solution

The correct option is B 0
n=189h(tan(n))
=log(tan1)+log(tan2)+......log(89)
=log((tan1)(tan2)(tan3).........(tan89))
using tan(90θ)=cotθ and tanθ.cotθ=1
=log((tan1).....(tan45)(cot44)(cot1))
=log(1)
=0

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