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Question

If 10i=1cos1xi=0, then 10i=1xi is

A
0
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B
10
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C
5
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D
none of these
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Solution

The correct option is B 10
The above expression can be written as
cos1(x1)+cos1(x2)+cos1(x3)+...cos1(x10)=0
We know that cos1(1)=0
Hence
x1=x2=...=x10=1
Therefore
x1+x2+...+x10
=1+1+1+1...+1
=10(1)
=10

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