Question

Q.14
Iftan A -tan B - x and cot B - cot A = y, then
cot (
A B) is equal to
to​

Answer 1

Answer:

Step-by-step explanation:

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as you told in your question

tan A - tan B = x

and

cot B - cot A = y

⇒$\frac{1}{tan B}- \frac{1}{tanA}=y\\=\frac{tan A-tanB}{tanAtanB}=y\\= \frac{x}{tan A tanB}=y\\=\frac{1}{tanAtanB}=\frac{y}{x}\\=cotAcotB=\frac{y}{x}$

i think it help you