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sum(p=1)^pi(3p+2)[sum(q=1)^10sin(2qpi)/1...

`sum_(p=1)^pi(3p+2)[sum_(q=1)^10sin(2qpi)/11-icos(2qpi)/11]^p`

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

The value of sum_(n=1)^(10) {sin(2npi)/11-icos(2npi)/11} , is

Find the value of sum_(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wherei=sqrt(-1).

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

If S=underset(k=1) overset(10)sum(sin""(2pik)/11-icos""(2pik)/11) then

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

A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
  1. If alpha is an n^(th) roots of unity, then 1+2alpha+3alpha^(2)+……..+n...

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  2. If alpha (!=1) is a nth root of unity then S = 1 + 3alpha+ 5alpha^2 + ...

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  3. sum(p=1)^pi(3p+2)[sum(q=1)^10sin(2qpi)/11-icos(2qpi)/11]^p

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  4. Show that the polynomial x^(4p)+x^(4q+1)+x^(4r+2)+x^(4s+3) is divisibl...

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  5. If alpha ia ROOT OF x^2+x+1= 0 then show that alpha is also a root of...

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  6. If p,q,r are three consecutive integers ge3, prove that x^p+x^q+x^r is...

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  7. If n is n odd integer that is greater than or equal to 3 but not la ul...

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  8. If z^2(bar omega)^4=1 where omega is a nonreal complex cube root of 1 ...

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  9. Find z satisfying |z-5i|le3 such that amp z is the minimum.

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  10. If |z-25i| lt= 15. then |"maximum " arg(z) - "minimum " arg(z)| equals

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  11. Find the complex number Z, the greatest in absolute value which satisf...

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  12. Complex number z1, z2 and z3 in AP

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  13. if |(1-iz)/(z-i)|=1 prove that the locus of the variable point z in th...

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  14. The equation barbz+bbarz=c, where b is a non-zero complex constant and...

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  15. Let A(z1) and (z2) represent two complex numbers on the complex plan...

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  16. Find the area of the triangle whose vertices in the Argand plane are i...

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  17. Show that the area of the triangle on the Argand diagram formed by the...

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  18. Find the area of the triangle whose vertices represent the three roots...

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  19. The complex numbers z1, z2 and the origin form an equilateral triangle...

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  20. Complex numbers z1 , z2, z3 are the vertices A, B, C respectively of ...

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