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Let S=1/(sin8^@)+1/(sin16^@)+1/(sin32^@)...

Let `S=1/(sin8^@)+1/(sin16^@)+1/(sin32^@)+....+1/(sin4096^@)+1/(sin8192^@)`, If `S=1/sinK^@` where `K in (0,90^@)` , then K equal to

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