Step-by-step Solution
Problem to solve:
$\tan\left(x\right)\cdot \cos\left(x\right)\cdot \csc\left(x\right)=1$
Solving method
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$\frac{\tan\left(x\right)}{\sec\left(x\right)}\csc\left(x\right)=1$
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)}. Multiplying the fraction by \csc\left(x\right). The tangent function is inverse to the cotangent: \tan(x)=\frac{1}{\cot(x)}. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}.
Final Answer
true