Word Count : 317

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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 ________ _____ ____ ________ __________.
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