Math Problem Statement
sin^6 pi/16 + sin^6 3pi/16 + sin^6 5pi/16 + sin^6 7pi/16 is
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Trigonometric identities
Symmetry in trigonometric functions
Formulas
Identity for sine power: \(\sin^6 x = \frac{1}{32} \left(10 - 15 \cos(2x) + 6 \cos(4x) - \cos(6x)\right)\)
Theorems
-
Suitable Grade Level
Advanced High School
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