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# Help me on this question Watch

1. this question could fall into any module tbh, but i'm stuck on it anyway:
Show that for all x,
2. Anyone please? It happened to appear on a past exam on Calculus... (but could also be an algebra question, either way I'm still stuck on it)
3. Amm.. is it like you need to simplify both equations?
4. No, I just need to prove that for all x, is less than . And I have no idea how to do it! (No wait I think I do have an idea, do I express sin(2x) as its Taylor polynomial? And how many terms would I need in that polynomial to be sure?)
5. You'll need to use Taylor's theorem with remainder. It should be fairly obvious how many terms to take.
6. Find the maclaurin expansion of sin2x, group like terms then show that for all x RHS is greater than 0.

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7. Find maclaurin expansion for sin2x then group like terms, take up to x^3 or more if you wish, show that RHS is greater than 0 for all x, or less than 0 if you go for the LHS.

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Updated: April 12, 2013
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