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Applying the trigonometric identity: $\csc\left(\theta \right)^2-1 = \cot\left(\theta \right)^2$
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$\frac{\cot\left(x\right)^2}{\csc\left(x\right)^2}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (csc(x)^2-1)/(csc(x)^2). Applying the trigonometric identity: \csc\left(\theta \right)^2-1 = \cot\left(\theta \right)^2. Apply the trigonometric identity: \cot(x)=\frac{\cos(x)}{\sin(x)}. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. We can simplify the quotient of fractions \frac{\frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}}{\frac{1}{\sin\left(x\right)^2}} by inverting the second fraction and multiply both fractions.