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If $ a $ and $ b $ are fixed numbers, find parametric equations for the curve that consists of all possible positions of the point $ P $ in the figure, using the angle $ \theta $ as the parameter. The line segment $ AB $ is tangent to the larger circle.

Thus, the parametrization of the curve is $f(\theta)=a \sec \theta$ and $g(\theta)=b \sin \theta.$

Calculus 2 / BC

Chapter 10

Parametric Equations and Polar Coordinates

Section 1

Curves Defined by Parametric Equations

Parametric Equations

Polar Coordinates

Baylor University

University of Michigan - Ann Arbor

Boston College

Lectures

01:11

In mathematics, integratio…

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In grammar, determiners ar…

01:56

If $ a $ and $ b $ are fix…

02:59

If $a$ and $b$ are fixed n…

02:23

Finding Parametric Equatio…

04:56

02:41

(a) Find the point of inte…

08:59

01:55

Let $A$ and $B$ be the poi…

10:26

Tilted ellipse Consider th…

01:45

Sketch the curve known as …

02:16

(a) Sketch the plane curve…

The problem is, if a and B are fixed, the members find the parametric equations for the curve that consists of our impossible propositions of the pointy in the figure using the angle beta separator life segment it B is tangent to the larger circle. So you think you know it is a coordinate off? He is x y. Then we're half axe is equal to which is equal to Oh, aye, um, steak and data, which is equal to a hams. Second data now why is he called, which is equal to all? See hams sign there, which is equal to eat House sign data. So the parametric equations for the curve. Our accidental toe ate ham sik in the data. Why's he could beat hams, Sign data.

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