# How do you simplify #cos(x-y)-cos(x+y)# to trigonometric functions of x and y?

We know

Thus, starting there, we have

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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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- Can you prove #\sin 3a \cos a - \cos 3a \sin a = 2\sin a cosa#?

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