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Apply the trigonometric identity: $\csc\left(\theta \right)^n$$=\left(1+\cot\left(\theta \right)^2\right)^{\frac{n}{2}}$, where $x=y$ and $n=4$
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$\frac{\left(1+\cot\left(y\right)^2\right)^{2}-1}{\cot\left(y\right)^2}$
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=\left(1+\cot\left(\theta \right)^2\right)^{\frac{n}{2}}, where x=y and n=4. Expand the expression \left(1+\cot\left(y\right)^2\right)^{2} using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Subtract the values 1 and -1. Factor the polynomial 2\cot\left(y\right)^2+\cot\left(y\right)^{4} by it's greatest common factor (GCF): \cot\left(y\right)^2.