Answer
$\dfrac{\cot x\sec x}{\csc x}=1$
Work Step by Step
$\dfrac{\cot x\sec x}{\csc x}=1$
Substitute $\cot x$ with $\dfrac{\cos x}{\sin x}$, $\sec x$ with $\dfrac{1}{\cos x}$ and $\csc x$ with $\dfrac{1}{\sin x}$. Then simplify:
$\dfrac{\Big(\dfrac{\cos x}{\sin x}\Big)\Big(\dfrac{1}{\cos x}\Big)}{\Big(\dfrac{1}{\sin x}\Big)}=1$ $\rightarrow$ $\dfrac{\Big(\dfrac{1}{\sin x}\Big)}{\Big(\dfrac{1}{\sin x}\Big)}=1$ $\rightarrow$ $1=1$
