Prove the trigonometric identity $\tan\left(x\right)\cos\left(x\right)\csc\left(x\right)=1$

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$\frac{\sin\left(x\right)}{\cos\left(x\right)}\cos\left(x\right)\csc\left(x\right)=1$

Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity tan(x)cos(x)csc(x)=1. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Multiplying the fraction by \cos\left(x\right)\csc\left(x\right). Simplify the fraction \frac{\sin\left(x\right)\cos\left(x\right)\csc\left(x\right)}{\cos\left(x\right)} by \cos\left(x\right). Applying the trigonometric identity: \sin\left(\theta\right)\cdot\csc\left(\theta\right)=1.