Respuesta :

Answer:

i think is the answer is

sin(A+B)

Answer:

Numerator:

  • sin (A + B)  = sin A cos B + cos A sin B

Divide by cos A cos B:

  • sin A /cos A + sin B /cos B = tan A + tan B

Denominator:

  • sin (A - B)  = sin A cos B - cos A sin B

Divide by cos A cos B:

  • sin A /cos A - sin B /cos B = tan A - tan B

Connect all bits together to get:

  • sin(A + B) / sin(A - B) = (tan A + tan B) / (tan A - tan B)