Hi, can someone please help me..

Question: Write the function

in the form

, with u and v real functions. Hence show that f(z) is an entire function.

here's my working:

since,

thus

then i do partial derivaties to satisfy cauchy riemann equations..

partial of u wrt x = 0

partial of v wrt y = cos 2x i sin iy - 2i sin 2x cos 2iy

partial of u wrt y = 0

partial of v wrt x = ..

well i know i did it wrong coz

partial of u wrt x = partial of v wrt y

and

partial of u wrt y = - partial of v wrt x

so can someone please help me??