Step-by-step Solution
Problem to solve:
$\tan\left(x\right)\cdot \cos\left(x\right)\cdot \csc\left(x\right)=1$
Solving method
Learn how to solve problems step by step online.
$\frac{\sin\left(x\right)}{\cos\left(x\right)}\cos\left(x\right)\csc\left(x\right)=1$
Learn how to solve problems step by step online. Prove tan(x)cos(x)*csc(x)=1. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Multiplying the fraction by \cos\left(x\right). Simplify the fraction \frac{\sin\left(x\right)\cos\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.
Final Answer
true
