# How do you evaluate #csc((-4pi)/3)#?

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To evaluate ( \csc\left(\frac{-4\pi}{3}\right) ), first, find the sine of ( \frac{-4\pi}{3} ), then take the reciprocal of that value.

( \sin\left(\frac{-4\pi}{3}\right) = -\frac{\sqrt{3}}{2} )

Thus, ( \csc\left(\frac{-4\pi}{3}\right) = \frac{1}{\sin\left(\frac{-4\pi}{3}\right)} = \frac{1}{-\frac{\sqrt{3}}{2}} = -\frac{2}{\sqrt{3}} )

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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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