Math Problem Statement

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Solution

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Matrix Operations
Complex Numbers
Sequences and Series
Permutations and Combinations

Formulas

Trigonometric identities (e.g., cos(A ± B), sin(2θ))
Determinants for singular matrices
Modulus and argument of complex numbers
Sum of an arithmetic progression
nPr = n! / (n-r)!

Theorems

Properties of matrices (e.g., singular matrix condition)
Polar form of complex numbers
Arithmetic progression formulas
Mathematical induction

Suitable Grade Level

Grades 11-12