# How do you evaluate #Arctan (-1)#?

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To evaluate arctan(-1), you're finding the angle whose tangent is -1. Since tangent is negative in the second and fourth quadrants, and arctan gives values in the range of -π/2 to π/2, the angle you're looking for is in the fourth quadrant. Thus, arctan(-1) = -π/4.

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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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