Hi.

How many roots (zeros) are there to the function:

f(x)=a*cos(x+x1)+b*cos(2*x+x2) (a,b,x1,x2=const)

in the interval [-pi,pi) ?

I'm pretty sure there are either 2 or 4 roots, but I don't have any proof.

Thank you for your help.

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- May 30th 2010, 03:40 AMshapitalRoots of a function
Hi.

How many roots (zeros) are there to the function:

f(x)=a*cos(x+x1)+b*cos(2*x+x2) (a,b,x1,x2=const)

in the interval [-pi,pi) ?

I'm pretty sure there are either 2 or 4 roots, but I don't have any proof.

Thank you for your help.