Question

prove that arctan x+arctan y= arctan x+y/1-xy

Answer 1

Can you put parentheses where they belong toward the end of the equation?

Answer 2

is 1-xy over arctan x+y or just under y?

Answer 3

hitthis part of the question i have answered i am struggling with the second part which is slightly tricky.
it says use this relationship to show that if arctan (x) + arctan (y) + arctan(z) = pi/2 then xy + yz + zx = 1.
i

Answer 4

the relationship is arctan (x) + arctan (y)= arctan (x+y)/(1-xy)

Answer 5

okay

Answer 6

I'm sorry, but I don't think I can help you with that one. Is it supposed to be a system of equations?

Answer 7

i am struggling with simplifying the terms

Answer 8

For the first or second one?

Answer 9

i sthe second one as it will follow the same form as the first one but you have the extra term added arctan z. this is how far i have got

Answer 10

(x+y+z-xyz)/(1-xy-xz+yz)=pi/2