Polar complex question, similtaneous equations

[fredrick08]

Homework Statement

x=r*cos(theta) y=r*sin(theta)
Ur=Ux*cos(theta)+Uy*sin(theta)
Utheta=-Ux*r*sin(theta)+Uy*r*cos(theta)
Vr=Vx*cos(theta)+Vy*sin(theta)
Vtheta=Vy*r*sin(theta)+Vx*r*cos(theta)

cauchy rieman equations, Ux=Vy Uy=-Vx and for polar Ur=(Vtheta)1/r Vr=(Utheta)(-1/r)

show that Ux=Ur*cos(theta)-1/r*Utheta*sin(theta) and Vx=Vr*cos(theta)-1/r*Vtheta*sin(theta)

The Attempt at a Solution

I got told i need to use simultaneous equations.. I've tried soo amny times but all i get is Ux=Ux 0=0 or 1=1... please can someone put me on the right track

 

[fredrick08]

ok i can work backwards form the answer, and see that is is correct... but i don't know how to show Ux and Vx from what i have got.

 

[fredrick08]

anyone?