Word Count : 317

---

We are given the function: \[ f(z) = \frac{z}{4 \cos^2(z) - 1} \] We are tasked with finding the zeros, singularities (poles), and the residues at the poles within the disk \(|z| \leq 1\). ### Step 1: Find the Zeros of the Function To find the zeros, we solve for when the numerator is zero: \[ z = 0 \] So, the function has a zero at \(z = 0\). ### Step 2: Find the Singularities (Poles) The singularities ___ ____ _____ ___ ___ ___.
____ ____ ________ ________ ___ _________ ___ ____.
________ ____ ________ _____ _____.
________ ____ ____ _____ ____ _________ ___.
____ _______ _____ ________ _________.
____ ____ ______ ___ ________ _____ ___ _______.
__________ __________ __________ ________ ___ ________ _______ _________ __________.
________ _________ _____ ____ _____ ____ ________ ________.
_____ _____ ______ ___ ___ ________ _____ ____ _______ _____ __________ ________.
________ ___ ______ _______ ___ ___ ________ _____ _____ ____.
_______ ___ _____ ______ ________.
_____ _____ ________ ___ ____ _____ __________ ___.
_________ _____ _______ ___ ________ __________ ______ ________ ______.
________ __________ _____ ____ _________.
_______ __________ __________ _______ ____ _________ _______ ____ _______ ________ ____ _______.
____ ______ __________ ___ _______ ____.
________ _______ __________ ____ _____ ____.
_______ ______ __________ _______ ______ ____.
_______ __________ ______ ______ ___.
____ _____ ________ ___ ____ ___ ___ _________.
___ _________ ________ ________ _______ ________ __________ _______ _______ ________ _________.
_____ _______ ________ _____ ________.
____ ____ _____ __________ _______ _________ ____.
______ ____ ____ _____ _______ _________ _________ __________ ___.
______ _____ ____ _____ _______ ___ ______.
_____ ________ _______ _______ ____ _____ ____ __________ _________ ___.
______ _________ ________ _________ ______ ____ ______ ________ __________ _____ ______ _____.
______ ______ ________ ________ __________.
_________ ________ ____ ________ _____ _____ ____ ______ __________ ____ __________.
________ _______ __________ ___ _______ _____ ___ _________ __________.
_________ ________ ________ _____.
Get Full Answer on WhatsApp