cos(pi)/(2n+1)+cos3 pi+(cos5 pi)/(2n+1)+n+tan n

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

If omega = "cos"(pi)/(n) + "i sin" (pi)/(n) , then value of 1 + omega + omega^(2) +...+omega^(n-1) is

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

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

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

The complete solution of the equation 7cos^(2)x+sin x cos x-3=0 is given by n pi+(pi)/(2);(n in1)( b) n pi-(pi)/(4);(n in I)n pi+(tan^(-1)4)/(3);(n in I)n pi+3 pi,k pi+(tan^(-1)4)/(3);(n,k in I)

Prove that, int_(0)^((pi)/(2))cos^(n)x cos nx dx=(pi)/(2^(n+1)) .

Let n be a positive integer such that sin (pi/(2n))+cos (pi/(2n))= sqrt(n)/2 then (A) n=6 (B) n=1,2,3,….8 (C) n=5 (D) none of these