# How do you find the coordinates of the terminal points corresponding to the following arc length on the unit circle: -5π/3?

On the trig unit circle:

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To find the coordinates of the terminal points corresponding to an arc length on the unit circle, you can use the trigonometric functions sine and cosine.

Given an arc length of -5π/3, first, you need to understand that this represents a clockwise rotation around the unit circle.

To find the coordinates of the terminal point, you can use the angle formed by the arc length. However, since the given angle is negative, you would need to consider its absolute value and then rotate clockwise instead of counterclockwise.

The absolute value of -5π/3 is 5π/3.

Now, considering the angle 5π/3, you can use the unit circle to find the corresponding coordinates of the terminal point.

At 5π/3, the x-coordinate is cos(5π/3) and the y-coordinate is sin(5π/3).

Using the values of cosine and sine for 5π/3, you can evaluate them:

cos(5π/3) = -1/2 sin(5π/3) = -√3/2

So, the coordinates of the terminal point corresponding to the arc length -5π/3 on the unit circle are (-1/2, -√3/2).

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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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