Question

if tanA=2/9,cot=7/11 find tan(A-B) ​

Answer 1

Answer:

Tan(A-B)= -1

Step-by-step explanation:

Given, TanA=2/9 & CotB=7/11

To find: Tan(A-B)

Solution:

TanB= 1/CotB = 11/7

We know that,

$\tan(a - b) = \frac{ \tan(a) - \tan(b) }{1 + \tan(a) \tan(b) }$

Now, TanA-TanB= 2/9 – 11/7

= -85/63

And, 1+TanA.TanB= 1+ (2/9).(11/7)

= 1+ 22/63 = 85/63

As the formula given,

Tan(A-B) = (-85/63)/(85/63)= -1

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