### Theta Diagram Functions

I would like some assistance in setting up this problem to solve. In the diagram Theta is 50 degrees and x is the unknown. Thank You

I would like some assistance in setting up this problem to solve. In the diagram Theta is 50 degrees and x is the unknown. Thank You

Find a conformal mapping which maps the upper half plane Im(z)>0 to |w|<1 such that w(a)=0 where a=a_x+ia_y and Im(a)=a_y>0.

Find Res{Sin(z^3)/z^100, z=0}?