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![\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)} \qquad % cosecant csc(\theta)=\cfrac{1}{sin(\theta)} \qquad % secant sec(\theta)=\cfrac{1}{cos(\theta)}\\\\ -----------------------------\\\\ cot(x)[sin(x)-sec(x)]\implies \cfrac{cos(x)}{sin(x)}\cdot sin(x)-\cfrac{cos(x)}{sin(x)}\cdot \cfrac{1}{cos(x)} \\\\\\ cos(x)-\cfrac{1}{sin(x)}\implies cos(x)-csc(x)](/tpl/images/0396/1455/20aa5.png)
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