sin^(2)theta=((x+y)^(2))/(4xy)," where "x,y in R," gives real "theta" if and only if "

sin^(2)theta=((x+y)^(2))/(4xy) where x,y in R gives theta if and only if

sin^2 theta =(x+y)^2/(4xy) where x,y in R gives theta if and only if

csc theta=(x^(2)-y^(2))/(x^(2)+y^(2)), where x in R,y in R given real theta if and only if

sin^(2) theta = ((x+y)^(2))/(4xy) is true if and only if

Prove that sin^(2)theta=((x+y)^(2))/(4)xy is possible for real values of x and y only when x=y and x!=0.

Prove that the relation sin^(2)theta = (x+y)^(2)/4xy is not 4xy possible for any real theta where x in R , y in R such that |x | ne ly| .

Show that sin^(2)theta=(x^(2)+y^(2))/(2xy) is possible for real value of x and y only when x=y!=0

Prove that sin^2theta=(x+y)^2/(4xy) is possible for real values of x and y only when x = y , y!=0 and x!=0 .