Answer :
Answer:
1
Explanation:
Given the trigonometric expression:
[tex]\frac{\cot x\sec x}{\csc x}[/tex]We apply the following inverse identity:
[tex]\begin{gathered} \cot x=\frac{\cos x}{\sin x} \\ \sec x=\frac{1}{\cos x} \\ \sin x=\frac{1}{\csc x} \end{gathered}[/tex]Thus:
[tex]\begin{gathered} \cot x\times\sec x\times\frac{1}{\csc x}=\frac{\cos x}{\sin x}\times\frac{1}{\cos x}\times\sin x \\ =\frac{\cos x\sin x}{\sin x\cos x} \\ =1 \end{gathered}[/tex]The simplified form of the expression is 1.