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Bounded Sine (Posted on 2009-06-23)

y=sin(49x)+sin(51x) has an interesting shape.

Prove that it is bounded by y=±2cos(x)

No Solution Yet Submitted by Jer

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generalization

Comment 2 of 2 |

an interesting generalization is that
y=sin(m*x)+sin(n*x) with m>n
is bounded by
ą2*cos( (m-n)*x/2 )

Posted by Daniel on 2009-06-23 16:08:59

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