how to solve the following problem? If

aanvarendbq28

aanvarendbq28

Answered question

2022-03-30

how to solve the following problem? If i=1ncosθi=n then what is the value of i=1nsinθi

Answer & Explanation

Gia Edwards

Gia Edwards

Beginner2022-03-31Added 12 answers

Since
cosθi1i=1ncosθin
and equality holds if and only if
icosθi=1sinθi=0
zalutaloj9a0f

zalutaloj9a0f

Beginner2022-04-01Added 17 answers

If we have
i=1ncosθi=n
then we also have
i=1ncosθin=1
which means that the average cosine of these angles is 1.
If the average cosine of these angles is 1, what is the average sine of these angles?
The average sine is 0, since sin(arccos1)=0. Hence
i=1nsinθin=0
which implies i=1nsinθi=0

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