Question

if tan alpha - tan beta =m and cos alpha - cos beta =n then prove that cot (alpha - beta)= 1/m-1/n​

Answer 1

Answer:

your answer........

Step-by-step explanation:

tan(α−β)=

1+tanαtanβ

tanα−tanβ

cot(α−β)=

tanα−tanβ

1+tanαtanβ

....(1)cot(α−β)=

tanα−tanβ

1

+

tanα−tanβ

tanαtanβ

cotα−cotβ=n

tanα

1

−

tanβ

1

=n⇒

tanα−tanβ

1+tanαtanβ

=−

n

1

....(2)

From equation (1) and (2)

cot(α−β)=

m

1

−

n

1