`(sin(B+A)+cos(B-A))/(sin(B-A)+cos(B+A))` is equal to

Prove that (sin(B+A)+cos(B-A))/(sin(B-A)+cos(B+A))=(cos A+sin A)/(cos A-sin A)

sin(A+B). cos(A-B)+sin(A-B). cos(A+B)=

(sin^(2)A-sin^(2)B)/(sin A cos A-sin B cos B) is equal to (a) sin A cos A-sin B cos Btan(A-B)(b)tan(A+B)cot(A-B)(d)cot(A+B)

(sin ^(2) A - sin ^(2) B)/( sin A cos A - sin B cos B) is equal to

(cos A+ cos B) ^(2) + (sin A-sin B) ^(2) is equal to

(sin A-sin B)/(cos A + cos B) is equal to

If sin A + cos B = a and sin B + cos A = b, then sin (A + B) is equal to