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# Prove the trigonometric identity $\cot\left(x\right)\sec\left(x\right)=\csc\left(x\right)$

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true

##  Step-by-step Solution 

Problem to solve:

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

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

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

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)}.

true

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Prove from RHS (right-hand side)Express everything into Sine and Cosine

### Main topic:

Trigonometric Identities

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