Finding gradient vector

[oahsen]

Homework Statement

Find the angle between (grad)u and (grad)v at all points with x!=0 and y!= 0 if
x =( e^u)*(cos v) and y = (e^u) (sinv) .

The Attempt at a Solution

is not here x and y a function of u and v? How are we going to find grad of u and v? Should we pull out u and y from the equations (I mean if x =( e^u)*(cos v)) then u=ln(x/cosv) etc. )

 

[neutrino]

No, you write u and v in terms of x and y. Here's a hint to start with: sin²x + cos²x = 1

 

[oahsen]

No, you write u and v in terms of x and y. Here's a hint to start with: sin²x + cos²x = 1

thank you very much, ı understand. (ı found the answer as pi/2. I hope it is true)

 

[neutrino]

ı found the answer as pi/2. I hope it is true

It's certainly true.