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Multiply the single term $\cos\left(\theta\right)\cot\left(\theta\right)$ by each term of the polynomial $\left(\sec\left(\theta\right)-2\tan\left(\theta\right)\right)$
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$\sec\left(\theta\right)\cos\left(\theta\right)\cot\left(\theta\right)-2\tan\left(\theta\right)\cos\left(\theta\right)\cot\left(\theta\right)$
Learn how to solve simplify trigonometric expressions problems step by step online. Expand and simplify the trigonometric expression cos(t)cot(t)(sec(t)-2tan(t)). Multiply the single term \cos\left(\theta\right)\cot\left(\theta\right) by each term of the polynomial \left(\sec\left(\theta\right)-2\tan\left(\theta\right)\right). Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiplying the fraction by \cos\left(\theta\right)\cot\left(\theta\right). Simplify the fraction \frac{\cos\left(\theta\right)\cot\left(\theta\right)}{\cos\left(\theta\right)} by \cos\left(\theta\right).