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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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Excel in math and science

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by Andrew Ellinor

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