Final Answer
Step-by-step Solution
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Starting from the right-hand side (RHS) of the identity
Applying the trigonometric identity: $\csc\left(\theta \right)^2 = 1+\cot\left(\theta \right)^2$
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$3\csc\left(x\right)^2-10\cot\left(x\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (cot(x)-3)(3cot(x)-1)=3csc(x)^2-10cot(x). Starting from the right-hand side (RHS) of the identity. Applying the trigonometric identity: \csc\left(\theta \right)^2 = 1+\cot\left(\theta \right)^2. Multiply the single term 3 by each term of the polynomial \left(1+\cot\left(x\right)^2\right). We can try to factor the expression 3+3\cot\left(x\right)^2-10\cot\left(x\right) by applying the following substitution.