Converging Trig!

Geometry Level 3

n=0sin18(cos18)n=cotβ \large \sum_{n=0}^\infty \sin18^\circ (\cos 18^\circ)^n = \cot \beta

Find β3/2\beta^{3/2} .

Note: 0β900^\circ \leq \beta \leq 90^\circ

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