[(sin^(2)A-sin^(2)B)/(sin A cos A-sin B cos B)=],[[" (a) "tan(A-B)," (b) ",tan(A+B)],[" (c) "cot(A-B)," (d) ",cot(A+B)]]

(sin ^ (2) A-sin ^ (2) B) / (sin A cos A-sin B cos B) = tan (A + B)

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

(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)

2sin^(2)B+4cos(A+B)sin A sin B+cos2(A+B)=

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

(sin(A+3B)+sin(3A+B))/(sin2A+sin2B)=2cos(A+B)

(sin(A+3B)+sin(3A+B))/(sin2A+sin2B)=2cos(A+B)

(sin A + sin B) / (cos A + cos B) = tan ((A + B) / (2))

(sin A-sin B)/(cos B-cos A)=cot((A+B)/(2))