Final Answer
true
Step-by-step Solution
Problem to solve:
$\tan\left(x\right)\cdot \cos\left(x\right)\cdot \csc\left(x\right)=1$
Choose the solving method
1
Apply the trigonometric identity: $\cos\left(x\right)\csc\left(x\right)$$=\cot\left(x\right)$
$\cot\left(x\right)\tan\left(x\right)=1$
Learn how to solve trigonometric identities problems step by step online.
$\cot\left(x\right)\tan\left(x\right)=1$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity tan(x)cos(x)csc(x)=1. Apply the trigonometric identity: \cos\left(x\right)\csc\left(x\right)=\cot\left(x\right). The tangent function is inverse to the cotangent: \tan(x)=\frac{1}{\cot(x)}. Multiply the fraction and term. Simplify the fraction \frac{\cot\left(x\right)}{\cot\left(x\right)} by \cot\left(x\right).
Final Answer
true