Simplify the following expression by writing it in terms of sine or cosine only:
$\frac{1}{\csc (x)} - \cot (x) =$

Answer

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Answer

Finally, we can write this as $1 - \cot x$

Steps

Step 1 ：We can write $\frac{1}{\csc (x)} - \cot (x) = \frac{\sin x}{1} - \frac{\cos x}{\sin x}$

Step 2 ：This simplifies to $\frac{\sin x - \cos x}{\sin x}$

Step 3 ：Finally, we can write this as $1 - \cot x$