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Sum of Squared Sines

Geometry Level 1

For all real values of \(\theta\) for which \(\lvert \sin \theta \rvert \neq 1,\) evaluate:

\[\large \sum_{n = 1}^{\infty} \sin^{2n}\theta . \]

\[\tan^2 \theta\] \[\cos^2 \theta\] \[\sec^2 \theta\] \[1\]

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by Andrew Ellinor

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