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Expand the fraction $\frac{\csc\left(x\right)^2-1}{\csc\left(x\right)^2}$ into $2$ simpler fractions with common denominator $\csc\left(x\right)^2$
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$\frac{\csc\left(x\right)^2}{\csc\left(x\right)^2}+\frac{-1}{\csc\left(x\right)^2}$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression (csc(x)^2-1)/(csc(x)^2). Expand the fraction \frac{\csc\left(x\right)^2-1}{\csc\left(x\right)^2} into 2 simpler fractions with common denominator \csc\left(x\right)^2. Simplify the fraction . The reciprocal sine function is cosecant: \frac{1}{\csc(x)}=\sin(x). Applying the trigonometric identity: 1-\sin\left(\theta \right)^2 = \cos\left(\theta \right)^2.