Question

If,
$\tan(a) - \tan(b) = x \\ \cot(b) - \cot(a) = y$
Then, find the value of :
$\cot(a - b) = ?$
Any and every spam answer will be reported.​

Answer 1

Step-by-step explanation:

tan A - tan B = x

cot B - cot A = y

=> 1/tanB - 1/tanA  = y

=> (tanA - tanB)/tanB.tanA = y

=> x/y  = tanA.tanB

Cot(A - B)  = 1/(tan(A - B))  =  (1 + tanA.TanB)/(TanA - TanB)

= (1  + x/y)/(x)

= (y + x)/xy

= (x + y)/xy

cot (A-B) = (x + y)/xy

Learn more:

if sin B= 3sin(2A+B) prove that 2tanA+ tan(A+B)=0

brainly.in/question/11975405

Express tan θ in terms of tan α, if sin(θ + α) = cos (θ + α)

brainly.in/question/6964148

If tan(a+b)=1 and tan(ab)

Please mark me as brainliest if it helps and follow me