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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

1 Easy
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Application +4 | -1
The value of cos⁡π22⋅cos⁡π23.......cos⁡π210⋅sin⁡π210\cos \frac{\pi }{{{2^2}}} \cdot \cos \frac{\pi }{{{2^3}}}.......\cos \frac{\pi }{{{2^{10}}}} \cdot \sin \frac{\pi }{{{2^{10}}}} is
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Correct option: C
1512\frac{1}{{512}}
Option C (1512\frac{1}{{512}}) is correct because it is the simplified result after applying the trigonometric identity for the product of cosines and sine.

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