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Applying the trigonometric identity: $\csc\left(\theta \right)^2-1 = \cot\left(\theta \right)^2$
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$\cot\left(x\right)^2$
Learn how to solve problems step by step online. Simplify the trigonometric expression csc(x)^2-1. 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)}. Apply the trigonometric identity: \sin\left(\theta \right)=\frac{\sqrt{\sec\left(\theta \right)^2-1}}{\sec\left(\theta \right)}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.