If `p=cos2alpha-isin2alpha , q=cos 2beta+isin2beta` 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 p=cos2 alpha+isin2 alpha,q=cos2beta+isin2beta then sqrt(p//q)-sqrt(q//p)=

If p=cos2alpha+isin2alpha,q=cos2beta+isin2beta" then "sqrt(p//q)-sqrt(q//p)

If ( cos 2 alpha+ isin 2alpha)(cos 2 beta+ isin 2 beta)= cos theta+isin theta , then find the value of theta .

If a = cos alpha + isin alpha, b = - cos beta + isin beta then (ab - (1)/(ab)) is _______

If a = cos2alpha+isin2alpha , b= cos2 beta + i sin2 beta, c=cos2 gamma +isin2 gamma then prove that sqrt(abc)+(1)/(sqrt(abc))=2cos (alpha + beta+ gamma)

If (cos 3alpha+isin3alpha)(cos 5beta+isin5beta)=cos theta+isintheta " then " theta is

If sin alpha + sin beta = p "and" cos alpha + cos beta = q "then the value of " "tan" (alpha-beta)/2 will be-

Prove that the area of the parallelogram formed by the lines x cos alpha+y sin alpha=p,x cos alpha+y sin alpha=q,x cos beta+y sin beta=r and x cos beta+y sin beta=sis+-(p-q)(r-s)csc(alpha-beta)

If sin alpha + sin beta =p , cos alpha + cos beta = q then find the value of cos 2alpha + cos 2beta in terms of p and q.