1.

afa (tan A-tan B) = x zwi (cot B-cot A) = y

Answer»

we have tan A – tanB = sin (A – B) / cosA cosB & cot B – cot A = sin (A – B)/ sinA sin B

1/x + 1/y = cosA cosB /sin(A – B) + sinA sinB / sin (A – B)

=(cosA cosB + sinA sinB) /sin (A – B)

= cos (A – B) / sin (A – B) = cot (A – B)

Ans: cot (A – B) = 1/x + 1/y



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