Let `f(x)=sin^(2)(x +alpha)+sin^(2)(x +beta)-2cos(alpha-beta)sin(x+alpha)sin(x +beta)`. Which of the following is TRUE ?

Show that sin^2(x+alpha)+sin^2(x+beta)-2cos(alpha-beta).sin(x+alpha)sin(x+beta) is independatn of x.

Show that the value of sin^(2) (x + a) + sin^(2) (x + beta) - 2 cos (alpha - beta ) sin (x + alpha) sin (x + beta) is independent of x.

2sin^(2)beta+4cos(alpha+beta)sin alpha sin beta+cos2(alpha+beta)=

sin ^ (2) alpha + sin ^ (2) (alpha-beta) -2sin alpha cos beta sin (alpha-beta) = sin ^ (2)

if f(x)=(sin (x+alpha)/(sin(x+beta))),alpha ne beta then f(x) has

if f(x)=(sin (x+alpha)/(sin(x+beta))),alpha ne beta then f(x) has

2 sin ^(2) beta + 4 cos (alpha + beta) sin alpha sin beta + cos 2 (alpha + beta )=

(sin^(2)alpha-sin^(2)beta)/(sin alpha cos alpha-sin beta cos beta)=tan(alpha+beta)