# How do you simplify #cot(x+y)+cos(4x-y)# to trigonometric functions of x and y?

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To simplify cot(x+y) + cos(4x-y) to trigonometric functions of x and y, we can use trigonometric identities. One approach is to express cot(x+y) and cos(4x-y) in terms of sine and cosine functions using the identities:

- cot(x+y) = cos(x+y)/sin(x+y)
- cos(4x-y) = cos(4x)cos(y) + sin(4x)sin(y)

Then, substitute these expressions into the original equation and simplify further by expanding and combining terms using trigonometric identities until the expression is in terms of sine and cosine functions of x and y.

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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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