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okay so in this video iamp;#39;m going to show you how to find the residues of this function using the cover-up method now two things you need for the cover-up method you need this to be analytic and then factors of this in the form of z plus or minus something so trigonometry trigonometric function divided by a polynomial function we know this is analytic everywhere so so for cover-up rule we need analytic so that is true and then we can factor this so we can get some function f well in this case because we got the function is f we call this g of something z plus or minus that one and z plus or minus that one something like that so they have to be single zeds so thatamp;#39;s the rules to allow us to use the cover rule so thatamp;#39;s thatamp;#39;s sorted now we need to factor this z squared minus two z plus three how are we going to do that well thereamp;#39;s no clear factors in that so weamp;#39;re going to have to resort to the quadratic formula so we go straight in with 1