perplexus.info :: Just Math : Sin sum

Sin sum (Posted on 2020-12-11)

Let x be the sum of the values of sin(n) for the whole numbers 0 though n. (In radians, of course.)

Find the maximum A and minimum B such that

A < x < B

Adapted from AMS Page A Day Calendar by Evelyn Lamb December 7.

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Puzzle Answer

| Comment 8 of 14 |

The required maximum value of A is approximately equal to:

-0.1276709606.....

The required minimum value of B is approximately equal to:

+0.195815868....

Edited on June 11, 2022, 12:00 am

Posted by K Sengupta on 2022-06-10 22:58:55

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