Math Problem Statement
Find the angle between the curves 𝑟^ 2 = 4 sin(2𝜃) and 𝑟^ 2 = 4 Cosec(2𝜃)
Solution
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Math Problem Analysis
Mathematical Concepts
Polar Coordinates
Curve Intersection
Differentiation
Formulas
Angle between two curves: ϕ = arctan(|(m1 - m2) / (1 + m1 * m2)|)
r^2 = 4 sin(2θ)
r^2 = 4 csc(2θ)
Differentiation of polar equations: dr/dθ
Theorems
Implicit Differentiation
Trigonometric Identities
Suitable Grade Level
Grades 11-12 (Advanced Mathematics)
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