- #1

MathematicalPhysicist

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u=arcsin(x)+arccos(y)

v=xsqrt(1-y^2)+ysqrt(1-x^2)

and i need to find the functional connection between u and v.

i know that:

v'_x/u'_x=dv/du

and i have got:

dv/du=sqrt(1-x^2)sqrt(1-y^2)-xy

now i need to show the rhs as a function of v or u, obviously of v should be much easier, the problem is i don't know how to simplify it.

i mean i tried adding and substracting terms, but with no success can someone help me on this?

thanks.