Step-by-step explanation
Problem to solve:
$\cot\left(x\right)\cdot\sec\left(x\right)=\csc\left(x\right)$
Choose the solving method
Learn how to solve trigonometric identities problems step by step online.
$\frac{\cot\left(x\right)}{\cos\left(x\right)}=\csc\left(x\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity cot(x)sec(x)=csc(x). Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Apply the trigonometric identity: \cot\left(x\right)=\frac{\cos\left(x\right)}{\sin\left(x\right)}. Simplify the fraction \frac{\frac{\cos\left(x\right)}{\sin\left(x\right)}}{\cos\left(x\right)} by \cos\left(x\right). The reciprocal sine function is cosecant: \frac{1}{\sin(x)}=\csc(x).
Final Answer
true