Considering only the values of α and β for which sin(α+β)/sinαsinβ is defined, sin(α+β)/sinαsinβ= ?

Question

Select the correct answer below:

cotαcotβ+1

tanα−tanβ

tanα+tanβ

sin(α+β)1−tanαtanβ

cotα+cotβ

Answer 1

sin(α+β)/sinαsinβ

Sin(a+b)/Sin(a)Sin(b)

[Sin(a)Cos(b) + Cos(a)Sin(b)] / Sin(a)Sin(b)

Cos(b)/Sin(b) + Cos(a)/Sin(a)

Cot(b) + Cot(a)

or Cot(a) + Cot(b)