JEE Advanced 2020 Full Test 3 Paper 1

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Question : 51 of 54
 
Marks: +1, -0
Let S=‌
1
sin‌8∘
+‌
1
sin‌16∘
+‌
1
sin‌32∘
+.....
+‌
1
sin‌4096∘
+‌
1
sin‌8192∘
.
If S=‌
1
sin‌α
where α∈(0,90∘), then find α (in degree).
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