Linearize the Trigonometric Powers Part 4

Geometry Level 3

\[ \cos^5 \theta = a_5 \cos (5 \theta) + a_3 \cos (3 \theta) + a_1 \cos ( \theta) \]

Above shows a trigonometric identity for constants \(a_1, a_3, a_5 \).

What is the value of \( \large \frac {3a_3 - a_1}{a_5} \)?

See Part 1, Part 2, and Part 3.

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