Let n be a positive integer such that `sin(pi/2n) + cos(pi/2n) = sqrt(n)/2`

Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))/2dot

Let n be a fixed positive integer such that sin(pi/(2n))+cos(pi/(2n))=sqrtn/2 then

Let n be a positive integer such that sin((pi)/(2^(n)))+cos((pi)/(2^(n)))=(sqrt(n))/(2), then

The number of positive integers which satisfy sin((pi)/(4n))+cos((pi)/(4n))=sqrt((n)/(2)) is -

If n is positive integer and "cos" (pi)/(2n)+"sin" (pi)/(2n) =(sqrt(n))/(2) , then prove that 4 le n le 8

Determine a positive integer n such that (pi)/(2)x^(n)sin xdx=(3)/(4)(pi^(2)-8)

The least positive integer n such that [{:(cos""(pi)/(4), sin""(pi)/(4)) ,(- sin ""(pi)/(4) , cos ""(pi)/(4)):}]^(n) is an identity matrix of order 2 is

If n is a positive integer prove that (1+i)^(2n)+(1-i)^(2n)=2^(n+1)cos((n pi)/(2))

The least positive integer n such that ({:(cos""((pi)/(4)),sin""((pi)/(4))),(-sin""((pi)/(4)),cos""((pi)/(4))):})^n is an identity matrix of order 2 is

If n is a positive integer and (1+i)^(2n)=k cos(n pi/2) , then the value of k is