What is the distance between the following polar coordinates?: # (3,(-4pi)/3), (4,(7pi)/6) #

Answer 1

The origin (0, 0) and these two points form a 3,4,5 triangle. Therefore, the distance between the two points is 5.

Let's use the Law of Cosines to solve this problem:

#c² = a² + b² - 2(a)(b)cos(C)#
where #a = 3, b = 4,# and #C = 7pi/6 - 12pi/6 + 8pi/6 = 3pi/6 = pi/2#
Because the angle between them is #pi/2#, we know that this is a 3,4,5 triangle.
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Answer 2

The distance between the polar coordinates (3,(-4π)/3) and (4,(7π)/6) is 5.

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Answer from HIX Tutor

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.

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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