is d ans 1?
∑r=09(−1)rcos1010rπ
any short solution using complex?
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7 Answers
UTTARA
·Feb 19 '10 at 5:48
Let ure expression be some I
I = -(c10 pi/10 + c10 3pi/10 + c10 7 pi/10 + c10 9 pi/10)
+ (c102pi/10 + c104pi/10 + c10 6pi/10 + c10 8pi/10)
+c10 0
= 1
Becz cos 7 pi/10 = - cos ( pi - 3pi/10) = - cos 3pi/10
cos 8 pi/10 = - cos (pi - 2pi/10) = - cos 2pi/10
Similarly the other 2