# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\tan\left(x\right)\cdot \cos\left(x\right)\cdot \csc\left(x\right)=1$

Learn how to solve problems step by step online.

$\tan\left(x\right)\frac{1}{\sec\left(x\right)}\csc\left(x\right)=1$

Learn how to solve problems step by step online. Prove tan(x)cos(x)*csc(x)=1. Applying the cosine identity: \displaystyle\cos\left(\theta\right)=\frac{1}{\sec\left(\theta\right)}. Multiply the fraction and term. Multiplying the fraction by \csc\left(x\right). The tangent function is inverse to the cotangent.