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Is this a valid approach? (1 Viewer)

laters

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Hi, in the 2007 HSC question 7 a) i) says "show that sin x < x for x > 0"

The method I used I have seen many times before but not in this particular question, I said that for some u>0, cos u <= 1 using a graph and then integrated with borders 0 to x. Pretty simple.

The reason I am asking this is because the marking guidelines did not mention this method - I thought many more people would have done such a thing - so I am unsure whether my method is valid. I'm pretty sure it is but just making sure.

Thanks!
 
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kawaiipotato

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It should be valid. Make sure you integrated from 0 to x to get rid of constant
 

InteGrand

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Hi, in the 2007 HSC question 7 a) i) says "show that sin x < x for x > 0"

The method I used I have seen many times before but not in this particular question, I said that for some u>0, cos u <= 1 using a graph and then integrated with borders 0 to x. Pretty simple.

The reason I am asking this is because the marking guidelines did not mention this method - I thought many more people would have done such a thing - so I am unsure whether my method is valid. I'm pretty sure it is but just making sure.

Thanks!
 
Last edited:

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