" Evaluate ":sum_(p=1)^(32)(3p+2)(sum_(q=1)^(10)(sin(2q pi)/(11)-i cos(2q pi)/(11)))^(p)

Evaluate p=sum_(p=1)^(32)(3p+2)(sum_(q=1)^(10)(sin""(2qpi)/(11)-icos""(2qpi)/(11)))^(p) , where i=sqrt(-1)

If p=sum_(p=1)^(32)(3p+2)(sum_(q=1)^(10)(sin""(2qpi)/(11)-icos""(2qpi)/(11)))^(p) , where i=sqrt(-1) and if (1+i)P=n(n!),n in N, then the value of n is

If p=sum_(p=1)^(32)(3p+2)(sum_(q=1)^(10)(sin""(2qpi)/(11)-icos""(2qpi)/(11)))^(p) , where i=sqrt(-1) and if (1+i)P=n(n!),n in N, then the value of n is

If p=sum_(p=1)^(32)(3p+2)(sum_(q=1)^(10)(sin""(2qpi)/(11)-icos""(2qpi)/(11)))^(p) , where i=sqrt(-1) and if (1+i)P=n(n!),n in N, then the value of n is

sum_ (k = 1) ^ (10) ((sin (2k pi)) / (11) + i (cos (2k pi)) / (11))

The value of sum_(k=1)^(10)((sin(2 pi k))/(11)-i(cos(2 pi k))/(11)) is

sum_ (p = 1) ^ (pi) (3p + 2) [sum_ (q = 1) ^ (10) (if (2q pi)) / (11) -i (cos (pi 2q)) / (11) ] ^ (o)

The value of is sum_(k=1)^(10)(sin"" (2k pi)/(11)+ icos ""(2k pi)/(11)) is

5.if the expression cos^(2)((pi)/(11))+cos^(2)((2 pi)/(11))+cos^(2)((3 pi)/(11))+cos^(2)((4 pi)/(11))+cos^(2)((5 pi)/(11)) has the value equal to p/q in it lowest from ; then find (p+q)