** Final Answer

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** Step-by-step Solution **

Problem to solve:

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Starting from the left-hand side (LHS) of the identity

Learn how to solve trigonometric identities problems step by step online.

$\cot\left(x\right)\sec\left(x\right)$

Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity cot(x)sec(x)=csc(x). Starting from the left-hand side (LHS) of the identity. Apply the trigonometric identity: \displaystyle\cot(x)=\frac{\cos(x)}{\sin(x)}. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiplying fractions \frac{\cos\left(x\right)}{\sin\left(x\right)} \times \frac{1}{\cos\left(x\right)}.

** Final Answer

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