Use basic trigonometric identities to simplify the expression: sin (-x) cos (-x) csc (-x) =?

Step-by-step explanation:

We know by definition that the cosine is an even function, therefore

We also know that the sin is an odd function, therefore

By definition:

Then:

Using these trigonometric properties we can simplify the expression

The answer is:

The simplified expression is:

To simplify the expression we need to use the following trigonometric identities:

We are given the expression:

So, applying the identities and simplifying, we have:

Hence, the simplified expression is:

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