# What is the distance between the following polar coordinates?: # (7,(19pi)/12), (4,(13pi)/8) #

Distance between two points knowing the polar coordinates is given by the formula using cosine rule

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To find the distance between two polar coordinates ((r_1, \theta_1)) and ((r_2, \theta_2)), you can use the formula: [ \text{Distance} = \sqrt{(r_1 \cos \theta_1 - r_2 \cos \theta_2)^2 + (r_1 \sin \theta_1 - r_2 \sin \theta_2)^2} ]

Plugging in the values from the given coordinates ((7, \frac{19\pi}{12})) and ((4, \frac{13\pi}{8})), we get: [ \text{Distance} = \sqrt{(7 \cos \frac{19\pi}{12} - 4 \cos \frac{13\pi}{8})^2 + (7 \sin \frac{19\pi}{12} - 4 \sin \frac{13\pi}{8})^2} ]

Calculating the trigonometric functions and then finding the square root gives us the distance between these polar coordinates.

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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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