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$\frac{\cot\left(x\right)^2}{\cot\left(x\right)^2\sin\left(x\right)^2}+\csc\left(x\right)^2\cot\left(x\right)^2$
Learn how to solve problems step by step online. Prove the trigonometric identity (cot(x)^2)/(cot(x)^2sin(x)^2)+csc(x)^2cot(x)^2=csc(x)^4. Starting from the left-hand side (LHS) of the identity. Simplify the fraction \frac{\cot\left(x\right)^2}{\cot\left(x\right)^2\sin\left(x\right)^2} by \cot\left(x\right)^2. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Rewrite \csc\left(x\right)^2\cot\left(x\right)^2 in terms of sine and cosine.