Math Problem Statement

Convert the following equation into an equation in terms of Cartesian coordinates. 𝑟 = 4 cos 𝜃 + 4 sin �

Solution

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Math Problem Analysis

Mathematical Concepts

Polar Coordinates
Cartesian Coordinates
Completing the Square

Formulas

x = r cos θ
y = r sin θ
r^2 = x^2 + y^2
Completing the square formula: (a^2 ± 2ab + b^2 = (a ± b)^2)

Theorems

Coordinate Transformation

Suitable Grade Level

Grades 10-12