I meant k in integers sorry! Following an alternative method I've learnt, if i just sub in sin^(z) as (z - 1/z) / (2i) and multiply it out I get z^2 over (z^4 - 2z^2 +1).
After solving I found z^2 to be equal to plus/minus 1 so could z be equal to plus/minus i?
V grateful your help!
I thought the isolated singularities were when the bottom line can equal 0 ie where f in this case would have poles of pi*k for some k in the complex numbers?
I tried following a method I found on a website for contour integration. Feel this is where I have gone wrong.
Should I be using the first equation in part 2?
Homework Statement
For R > 0,
assume ΓR is a circle {z ∈ C : |z| = R} with anticlockwise direction.
For which R>0, does the the function f(z) = 1/sin^(2)(z) be continuous on ΓR
and evaluate ∫_{ΓR} dz/sin^(2)(z) for each R (the answer may be dependent on R).
Homework Equations
sinx= (e^(ix)...