Recent content by claralou_

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?

Do you mean to find where 1/sin^2(x) would be zero?

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)...