Answer:
We know that
Cot (A – B) = 1/ Tan (A- B)
Now Tan (A- B) = (Tan A – TaB B)/(1 + Tan A Tan B)
So,
1/ Tan(A- B) = (1 + Tan A Tan B)/(Tan A- Tan B)
∴ Cot (A- B) = (Cot ACot B + 1) /(Cot B – Cot A)
Answer:
We know that
Cot (A – B) = 1/ Tan (A- B)
Now Tan (A- B) = (Tan A – TaB B)/(1 + Tan A Tan B)
So,
1/ Tan(A- B) = (1 + Tan A Tan B)/(Tan A- Tan B)
∴ Cot (A- B) = (Cot ACot B + 1) /(Cot B – Cot A)
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