Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Polar Coordinates
Rectangular Coordinates
Trigonometric Functions
Algebraic Manipulation
Formulas
x = r * cos(θ)
y = r * sin(θ)
r = sqrt(x^2 + y^2)
tan(θ) = y / x
cos(2θ) = cos^2(θ) - sin^2(θ)
Theorems
Pythagorean Theorem
Trigonometric Identities
Suitable Grade Level
Grades 10-12