Math Problem Statement
Given the following parametric equations, eliminate the parameter, tt, and rewrite the parametric equations as a Cartesian equation.
x(t)=−3sin(t)y(t)=2cos(t)x(t)y(t)=−3sin(t)=2cos(t)where 0≤t≤2π0≤t≤2π.
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Parametric Equations
Cartesian Equations
Ellipses
Formulas
x(t) = -3sin(t)
y(t) = 2cos(t)
Pythagorean identity: sin²(t) + cos²(t) = 1
Equation of an ellipse: x²/a² + y²/b² = 1
Theorems
Pythagorean Identity
Suitable Grade Level
Grades 10-12
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