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Trignometry

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28 Jul 2011 11:53:57 IST

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Is that true For every x>0, sinxx??

Mathematics

Is that trueFor every x>0,sinxx??

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djdylan2000. bits goa eee

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Joined: 7 Feb 2007

Posts: 1608

28 Jul 2011 21:53:25 IST

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yes.

Both functions y=sinx & z=x start at 0 at x=0

but check out their slopes

z'=1 but y' is 1 at x=0 and decreases after that. so the function z grows faster than y. hence x>sinx for x>0

you can apply similar logic for x<0

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