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torisob [31]
3 years ago
9

Explain which trig functions and identities produce circles, ellipses and hyperbolas.

Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0
Note that we can also write equations for circles<span>, </span>ellipses, and hyperbolas<span> in terms of cos and sin, and other </span>trigonometric functions<span>; there are examples of these ...</span>
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Answer: \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

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It is given that Point A is at (-5, -4) and point B at (-3, 3).

We need to find the coordinates of the point which is 3/4 of the way from A to B.

Let the required point be P.

AP:AB=3:4

AP:PB=AP:(AB-AP)=3:(4-1)=3:1

It means, point P divides segment AB in 3:1.

Section formula:  If a point divides a line segment in m:n, then

\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Using section formula, we get

P=\left(\dfrac{3(-3)+1(-5)}{3+1},\dfrac{3(3)+1(-4)}{3+1}\right)

P=\left(\dfrac{-9-5}{4},\dfrac{9-4}{4}\right)

P=\left(\dfrac{-14}{4},\dfrac{5}{4}\right)

P=\left(\dfrac{-7}{2},\dfrac{5}{4}\right)

Therefore, the required point is \left(\dfrac{-7}{2},\dfrac{5}{4}\right).

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