If `S=cos^2(pi/n)+cos^2((2pi)/n)+....+cos^2(((n-1)pi)/(n)),` then S equals

If S=cos^2pi/2+cos^2(2pi)/n+....+cos^2((n-1)pi)/(n), then S equals

Show that if n gt 2 cos^2 (pi/n) + cos^2 ((3pi)/n)+ cos^2((5pi)/n)+ ... n terms =n/2

2 ^ (n-1) sin ((pi) / (n)) sin ((2 pi) / (n)) ..... sin ((n-1) / (n)) pi equals:

(cos2^(3))(pi)/(10)(cos2^(4))(pi)/(10)(cos2^(5))(pi)/(10)......*(cos2^(10))(pi)/(10) is equal to (p)/(29). (in lowest form) p,q in N then

Show that if n>2cos^(2)((pi)/(n))+cos^(2)((3 pi)/(n))+cos^(2)((5 pi)/(n))+...nterms=(n)/(2)

Value of cos((pi)/(2n+1))+cos((3 pi)/(2n+1))+cos((5 pi)/(2n+1))+ upto n terms equals

The value of cos((pi)/(4))*cos((pi)/(8))*cos((pi)/(16))cos((pi)/(2^(n))) equals

{:(" " Lt),(n rarroo):} (pi)/(2n) (1+ cos. (pi)/(2n)+....+cos. ((n-1)pi)/(2n))=

The value of cos(pi/4)*cos(pi/8)*cos(pi/16)....cos(pi/(2^n)) equals

If m^(2) cos.(2pi)/(15)cos. (4pi)/(15) cos. (8 pi)/(15) cos. (14pi)/(15)=n^(2) , then find the value of (m^(2)-n^(2))/(n^(2)) .