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Trigonometric product (Posted on 2013-12-29)

Compute the infinite product

[sin(x) cos(x/2)]^1/2 · [sin(x/2) cos(x/4)]^1/4 · [sin(x/4) cos(x/8)]^1/8 · ... ,

where 0 ≤ x ≤ 2π

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 4.0000 (1 votes)

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Puzzle Answer

Comment 8 of 8 |

The required simplified value = sin(x)/2

Posted by K Sengupta on 2023-09-01 03:40:20

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