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Step-by-step Solution
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Multiply the single term $\cot\left(x\right)^2$ by each term of the polynomial $\left(\sec\left(x\right)^2-1\right)$
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$\sec\left(x\right)^2\cot\left(x\right)^2-\cot\left(x\right)^2$
Learn how to solve problems step by step online. Expand and simplify the trigonometric expression cot(x)^2(sec(x)^2-1). Multiply the single term \cot\left(x\right)^2 by each term of the polynomial \left(\sec\left(x\right)^2-1\right). Apply the trigonometric identity: \cot(x)=\frac{\cos(x)}{\sin(x)}. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiplying fractions \frac{1}{\cos\left(x\right)^2} \times \frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}.