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ANSWER
[tex]2)0[/tex]EXPLANATION
We want to simplify the trigonometric expression:
[tex]\cot x-\csc x\cos x[/tex]According to trigonometric ratios, we have that:
[tex]\begin{gathered} \cdot\cot x=\frac{1}{\tan x}=\frac{1}{\frac{\sin x}{\cos x}}=\frac{\cos x}{\sin x} \\ \cdot\csc x=\frac{1}{\sin x} \end{gathered}[/tex]Substitute those into the expression given:
[tex]\begin{gathered} \frac{\cos x}{\sin x}-(\frac{1}{\sin x})\cos x \\ \Rightarrow\frac{\cos x}{\sin x}-\frac{\cos x}{\sin x} \\ \Rightarrow0 \end{gathered}[/tex]The answer is option 2.
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