Question

(ii) tan-'x - tan-' y = tall
1 + xy
1)>; , y
xy > 1; x, y>0
(iii) tan-'r + tan- y = 1 + tan-
1- ху​

Answer 1

Answer:

what it is I don't understand sorry

Answer 2

Answer:

Let α=tan

−1

x,β=tan

−1

y

As tan(α+β)=

1−tanαtanβ

tanα+tanβ

⇒tan(α+β)=

1−xy

x+y

⇒α+β=tan

−1

(

1−xy

x+y

)= tan

−1

x+tan

−1

y