Math Problem Statement
What graph is traced by the parametric equation (x, y) = (2 + cos t, 1 + sin t)?
Solution
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Math Problem Analysis
Mathematical Concepts
Parametric Equations
Trigonometry
Geometry
Formulas
x(t) = 2 + cos(t)
y(t) = 1 + sin(t)
(x - 2)^2 + (y - 1)^2 = 1
Theorems
Pythagorean Identity: cos^2(t) + sin^2(t) = 1
Suitable Grade Level
Grades 10-12
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