Prove that the equation:

can be represented as a rational integral equation in x & y.

NOTE: No latex for arccot?

EDIT: @Mush:doesn't work!Code:`\acot`

EDIT: Thanks Soroban! Also, is the only way it seems.

- Apr 28th 2009, 01:29 AMfardeen_genRepresent inverse trigonometric equation as rational integral equation?
Prove that the equation:

can be represented as a rational integral equation in x & y.

NOTE: No latex for arccot?

EDIT: @Mush:Code:`\acot`

EDIT: Thanks Soroban! Also, is the only way it seems. - Apr 28th 2009, 03:00 AMMush
- Apr 28th 2009, 07:42 AMSoroban
Hello, fardeen_gen!

Quote:

Prove that the equation: .

can be represented as a rational integral equation in and

. . That is: .

Take the tangent of both sides: .

. .

. .

. . .[1]

Since

substitute into [1]:

. .

. . . .

Simplify: .

Multiply by

Factor and simplify: .

Square both sides: .

. . and we have a polynomial equaton in and