Trigonometric Series

Geometry Level 2

\[{ \sin }^{ 2 }{ 5 }^{ \circ }+{ \sin }^{ 2 }{ 10 }^{ \circ }+{ \sin }^{ 2 }{ 15 }^{ \circ }+{ \sin }^{ 2 }{ 20 }^{ \circ }+\ldots+{ \sin }^{ 2 }{ 90 }^{ \circ }\]

Find the value of above expression.

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