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Apply the trigonometric identity: $\cot(x)=\frac{\cos(x)}{\sin(x)}$
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$\frac{\csc\left(y\right)^4-1}{\frac{\cos\left(y\right)^2}{\sin\left(y\right)^2}}$
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: \cot(x)=\frac{\cos(x)}{\sin(x)}. Divide fractions \frac{\csc\left(y\right)^4-1}{\frac{\cos\left(y\right)^2}{\sin\left(y\right)^2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Apply the property of the quotient of two powers with the same exponent, inversely: \frac{a^m}{b^m}=\left(\frac{a}{b}\right)^m, where m equals 2. Apply the trigonometric identity: \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}=\tan\left(\theta \right), where x=y.