Math Is Fun Forum

I don't even know why I asked this, it obviously converges.

Draw a diagram. Draw a radius from O to A and from O to B. Let the radius be of length r.

The area of the larger part is equal to the area of the larger sector + the area of the triangle AOB.

The area of the smaller part is equal to the area of the smaller sector  - the area of the triangle AOB.

Remember that the area of a sector is

Also note that the angle of the large sector = 2pi - theta.

I see.

Thank you Jane. I don't like square one

It was stated in the initial conditions that x,y,z > 0.

Why does that initial assumption lose generality though?

Using the identity for tan(A+B), I managed to get:

When arctanx + arctany + arctanz = pi, x + y + z - xyz = 0 ⇒ x+y+z = xyz

Not entirely sure where to go from here, as you cannot say that A < B ⇒ tanA < tanB.

I suggest clicking "more" at the top of the page.

http://xkcd.com/528/

Until you're at the stage of understanding the rigorous definition Jane mentions above, think of getting an answer like 0/0 as 'we can't get the answer this way, as 0/0 is not defined. It could really be anything'.

Solve? that isn't an equation.

Show us what you've done so far?