" If "(cos2 alpha+i sin2 alpha)(cos2 beta+i sin2 beta)=cos theta+i sin theta," then find the valueoff "

The real part of |(cos alpha+isin alpha, cos beta+ i sin beta),(sin beta+i cos beta, sin alpha +icos alpha)| is

If p=cos2 alpha-i sin2 alpha,q=cos2 beta+i sin2 beta then the value of sqrt((p)/(q))-sqrt((q)/(p))

If p=cos2 alpha+i sin2 alpha,q=cos2 beta+i sin2 beta then the value of sqrt((p)/(q))-sqrt((q)/(p))=

If alpha-beta=(2n+1)(pi)/2, n epsilon Z then [(cos^(2) alpha, cos alpha sin alpha),(cos alpha sin alpha, sin^(2)alpha)][(cos^(2) beta, cos beta sin beta),(cos beta sin beta, sin^(2) beta)]=

The real part of [[cos alpha+i sin alpha, cos beta+i sin beta],[ sin beta+i cos beta, sin alpha+i cos alpha]] is

If A=2 sin^2 theta - cos 2 theta and A in [alpha, beta] , then find the values of alpha and beta.

If A=2 sin^2 theta - cos 2 theta and A in [alpha, beta] , then find the values of alpha and beta.

If cos alpha+cos beta=0=sin alpha+sin beta, then cos2 alpha+cos2 beta is equal to

If A=[(cos^(2)alpha, cos alpha sin alpha),(cos alpha sin alpha, sin^(2)alpha)] and B=[(cos^(2)betas,cos beta sin beta),(cos beta sin beta, sin^(2) beta)] are two matrices such that the product AB is null matrix, then alpha-beta is