# How do you evaluate #tan^-1(-1)# without a calculator?

Depending upon if the domain is restricted to

What you are trying to solve is

Since the problem deals with the inverse tangent, that means we will use the tangent function to solve the problem.

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To evaluate arctan(-1) without a calculator, you can use the properties of trigonometric functions and the unit circle. The arctan function, or inverse tangent function, returns the angle whose tangent is a given number.

Since tan(π/4) = 1, we know that arctan(1) = π/4. Also, tan(-π/4) = -1, so arctan(-1) = -π/4.

Therefore, arctan(-1) equals -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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