Tangent Plane to f(x,y) = sin(x)cos(y) at (π/3,π/2)

[Feodalherren]

Homework Statement

3a) Find the equation of the tangent plane to the function f(x,y) = sin(x)cos(y) at the point (∏/3,∏/2).

The Attempt at a Solution

There is quite clearly a z in the definition. What's going on?

 

[SteamKing]

It's the way you have g defined. According to the function definition, g := z - sin (x)*cos (y), so you need 3 arguments to specify a value for g.

 

[Feodalherren]

So if I evaluate the function f(x,y) = sin(x)cos(y) at the point (∏/3,∏/2) and then use that point to find my value of Z it should work?

 

[SteamKing]

Hey, give it a shot.