Answered: Consider the parametric equations shown…

Consider the parametric equations shown below. x = 3 (cos(θ))2 y = 3 sin(θ) Find the rectangular equation by eliminating the parameter.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 45CT

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Concept explainers

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.

Question

Consider the parametric equations shown below.

x = 3 (cos(θ))²

y = 3 sin(θ)

Find the rectangular equation by eliminating the parameter.

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