perplexus.info :: Shapes : Bounded Sine

Home > Shapes

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

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

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

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (22)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info