Prove that `(sin A+sin B)/(cos A+cos B)+(cos A-cos B)/(sin A-sin B)=0`

Prove that (sin A-sin B)/(cos A+ cos B) = "tan" (A-B)/2

Prove that: (sin A-sin B)/(cos A+cos B)=tan((A-B)/2)

Prove that: (sin A+sin B)/(cos A+cos B)=tan((A+B)/2)

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

Prove each of the following identities : ((sin A - sin B))/((cos A + cos B)) + (( cos A - cos B))/((sin A + sin B)) =0

Prove that (1 + sin A) / (cos A) + (cos B) / (1-sin B) = (2sin A-2sin B) / (sin (AB) + cos A-cos B)

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

sin A-sin B and cos A + cos B

Prove that sin (A+B)= sin A cos B + cos A sin B.