let-A-arctanx-arctany-give-another-form-of-A-if-xy-1-

Question Number 34420 by math khazana by abdo last updated on 06/May/18

l e t A = a r c t a n x - a r c t a n y

g i v e a n o t h e r f o r m o f A i f x y \neq - 1 .

Commented by math khazana by abdo last updated on 07/May/18

w e h a v e t a n A = t a n (a r c t a n x - a r c t a n y)

= \frac{x - y}{1 + x y} \Rightarrow A = a r c t a n (\frac{x - y}{1 + x y})

Answered by tanmay.chaudhury50@gmail.com last updated on 07/May/18

A = {t a n}^{- 1} x - {t a n}^{- 1} y

= {t a n}^{- 1} (\frac{x - y}{1 + x y})