- #1

timeforchg

- 18

- 0

## Homework Statement

Show that sin(z) satisfies the condition. (Stated in the title)

## Homework Equations

## The Attempt at a Solution

f(z) = sin (z)

= sin (x + iy)

= sin x cosh y + i cos x sinh y

thus,

u(x,y)=sin x cosh y ... v(x,y)= cos x sinh y

du/dx = cos x ... dv/dx = -sin x

du/dy = -sinh y ... dv/dy = cosh y

therefore I will compare it with the Cauchy Riemann formula.

Am I right to say it doesn't satisfies the condition??