# How do you simplify #tan(x) cos(x)#?

Use the fact that

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To simplify ( \tan(x) \cos(x) ), you can use the trigonometric identity:

[ \tan(x) = \frac{\sin(x)}{\cos(x)} ]

Substitute this identity into ( \tan(x) \cos(x) ) and simplify:

[ \tan(x) \cos(x) = \frac{\sin(x)}{\cos(x)} \cdot \cos(x) ]

[ = \sin(x) ]

So, ( \tan(x) \cos(x) ) simplifies to ( \sin(x) ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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