Question

Hello, I need help with this question. Simplify: cotx secx/ cscx

Answer 1

1

Step-by-step explanation:

Given the trigonometric expression:

`(\cot x\sec x)/(\csc x)`

We apply the following inverse identity:

`\begin{gathered} \cot x=(\cos x)/(\sin x) \\ \sec x=(1)/(\cos x) \\ \sin x=(1)/(\csc x) \end{gathered}`

Thus:

`\begin{gathered} \cot x*\sec x*(1)/(\csc x)=(\cos x)/(\sin x)*(1)/(\cos x)*\sin x \\ =(\cos x\sin x)/(\sin x\cos x) \\ =1 \end{gathered}`

The simplified form of the expression is 1.