Let F(x)=(1+sin(pi/(2k))(1+sin(k-1)pi/(...

Let `F(x)=(1+sin(pi/(2k))(1+sin(k-1)pi/(2k))(1+sin(2k+1)pi/(2k))(1+sin(3k-1)pi/(2k))`. The value of `F(1)+F(2)+F(3)` is equal to

Let F(x)=(1+sin(pi/(2k))(1+sin(k-1)pi/(2k))(1+sin(2k+1)pi/(2k))(1+sin...
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sum (k = 1) ^ (10) ((sin (2k pi)) / (11) + i (cos (2k pi)) / (11))
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prod (k = 1) ^ (6) (sin ((2k pi) / (7)) - i cos ((2k pi) / (7))) =
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Let F(x)=(1+sin((pi)/(2k))(1+sin(k-1)(pi)/(2k))(1+sin(2k+1)(pi)/(2k))(...
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The value of 1+sum(k=0)^(12){(cos((2k+1)pi))/(13)+i(sin((2k+1)pi))/(13...
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If k in N and I(R)=int(-2k pi)^(2k pi)|sin x|[sin x]dx where bl denote...
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If sin^(-1)x+sin^(-1)y=pi and x=ky then find the value of (39)^(2k)+5^...
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lim (n rarr oo) sum (k = 1) ^ (n) ((sin) (pi) / (2k) - (cos) (pi) / (2...
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The sum sum(m=1)^(4n+1)[sum(K=1)^(m-1){sin((2kpi)/m)-icos((2kpi)/m)}^m...
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