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Usimov [2.4K]
3 years ago
13

An angle t is drawn from the center of the unit circle. Find a formula in terms of t for the straight line distance d between th

e points where the two radii meet the unit circle. Hint: By rotating the picture, you may assume that one of the radii meets the circle at the point (1,0)

Mathematics
1 answer:
Doss [256]3 years ago
5 0

Answer:

d = \sqrt{2}\cdot \sqrt {1-\cos t - \sin t}

Step-by-step explanation:

Let suppose that one of the radii meets the circle at the point (1,0). The straight line distance formula is:

d = \sqrt{(\cos t - 1)^{2}+(\sin t - 1)^{2}}

d = \sqrt{(\cos^{2}t - 2\cdot \cos t + 1)+(\sin^{2}t - 2\cdot \sin t + 1)}

d = \sqrt{2-2\cdot (\cos t + \sin t )}

d = \sqrt{2}\cdot \sqrt {1-\cos t - \sin t}

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Dear brother, all are correct answers!

Step-by-step explanation:

There is no any brief explanation for it, it is all listed there.

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2 years ago
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Natasha2012 [34]
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3 years ago
Please help me with these please.
Charra [1.4K]

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<u>Step-by-step explanation:</u>

Parallel means "same slope".  y = 5x - 2 is in the form y = mx + b,

so the slope (m) = 5

Next, input the point (x₁, y₁ = 2, -1) and slope (m = 5) into the Point-Slope formula:

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7. Answer: \bold{y = \dfrac{1}{3}x + 4}

<u>Step-by-step explanation:</u>

Perpendicular means "opposite reciprocal slope". y = -3x + 7 is in the form y = mx + b, so slope (m) = -3 ⇒ m⊥ = \frac{1}{3}

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3 years ago
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Answer:

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Step-by-step explanation:

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