perplexus.info :: Just Math : Trigo inequality

Trigo inequality (Posted on 2014-12-11)

Let c be the Champernowne's constant, or c=0.123456789101112131415161718192021....

Show, without calculator aid, that
sin(c) + cos(c) + tan(c) > 10c

No Solution Yet Submitted by Danish Ahmed Khan

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re: solution

| Comment 2 of 20 |

(In reply to solution by Ady TZIDON)

How is sin(c) > c ? The next term in the Taylor series is negative.

You could make the same argument about x=.1241; you'd say q.e.d. but the inequality would be false.

Edited on December 12, 2014, 7:53 am

Posted by Charlie on 2014-12-12 07:45:30

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