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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 problems step by step online. Simplify the trigonometric 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 resulting fractions. 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}.