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 3 of 20 |

(In reply to solution by Ady TZIDON)

sin(c)>c.

Though of course I can't use the calculator to solve the problem, I can use it to check this:

sin(0.123456789101112131415161718192021) = 0.123143415282653421945754067939955, which is less than c.

Posted by broll on 2014-12-12 08:49:30

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