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Math Problem Analysis

Mathematical Concepts

Trigonometry
Complex Numbers
Algebra
Geometry

Formulas

tan4θ = (4tanθ - tan³θ) / (1 - 6tan²θ + tan⁴θ)
Trigonometric identities such as sin²x + cos²x = 1
Sum and difference identities for sine and cosine
Complex number standard form a + ib
cotx × cot2x × cot3x = 1

Theorems

Trigonometric angle-sum and difference theorems
Pythagorean theorem in trigonometric identities
Properties of roots of unity
Euler’s formula for complex numbers

Suitable Grade Level

Grades 11-12

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