Final Answer
Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Applying the cosecant identity: $\displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}$
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$\csc\left(x\right)^2-\cos\left(x\right)^2\csc\left(x\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity csc(x)^2-cos(x)^2csc(x)^2=1. Starting from the left-hand side (LHS) of the identity. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying the fraction by \cos\left(x\right)^2. Applying the cotangent identity: \displaystyle\cot\left(\theta\right)=\frac{\cos\left(\theta\right)}{\sin\left(\theta\right)}.