Hello everyone. This problem is not too difficult, but let's see how many distinct solutions we can find for it.

Let . Prove thatProblem:

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- Nov 5th 2009, 02:08 PMDrexel28Trigonometric Inequality
Hello everyone. This problem is not too difficult, but let's see how many distinct solutions we can find for it.

Let . Prove that**Problem:** - Nov 6th 2009, 08:37 AMDrexel28
Just in case someone wants to try this but they're having a bit of trouble started. It can be made slightly easier by considering that it is true that . Furthermore, since is increasing on this interval it can readily be seen that . So this reduces to proving that .

- Nov 6th 2009, 12:55 PMJose27
- Nov 6th 2009, 01:40 PMDrexel28
- Nov 6th 2009, 02:03 PMBruno J.Quote:

It can be made slightly easier by considering that it is true that .

- Nov 7th 2009, 12:56 PMDrexel28
- Nov 10th 2009, 06:55 AMDrexel28
A couple people have asked me about my solution to this problem. Well here it is.

Prove that**Problem:**

__Spoiler__: