Why do tangent function have vertical asymptotes at the same places a cosine function crosses the x axis

The asymptotes for the graph of the tangent function are vertical lines that occur regularly, each of them π, or 180 degrees, apart. They separate each piece of the tangent curve, or each complete cycle from the next. is because those points are where the cosine function is equal to 0

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i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn