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Apply the trigonometric identity: $\csc\left(\theta \right)^n$$=\frac{1}{\sin\left(\theta \right)^n}$, where $x=y$ and $n=4$
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$\frac{\frac{1}{\sin\left(y\right)^4}-1}{\cot\left(y\right)^2}$
Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (csc(y)^4-1)/(cot(y)^2). Apply the trigonometric identity: \csc\left(\theta \right)^n=\frac{1}{\sin\left(\theta \right)^n}, where x=y and n=4. Combine all terms into a single fraction with \sin\left(y\right)^4 as common denominator. Apply the trigonometric identity: \cot(x)=\frac{\cos(x)}{\sin(x)}. Simplify the fraction \frac{\frac{1-\sin\left(y\right)^4}{\sin\left(y\right)^4}}{\frac{\cos\left(y\right)^2}{\sin\left(y\right)^2}}.