Hi,
I have an equation that looks like
\(\sin(x_1\beta)+sin(x_2\beta)+sin(x_3\beta)+...+sin(x8\beta) = Y\)
If I know Y (its constant), is there a easy way to solve for \(\beta\)?
I know for small values of \(\sin(\omega)\), that it can be approximated by \(\omega\), so I did this for this first 2 terms where the value was < 0.3 rads. However, for the other terms, I don't think the small signal approximation applies anymore, and I can't think of a way to isolate \(\beta\) since \(x_3, x_4 \) etc are different.
tia
I have an equation that looks like
\(\sin(x_1\beta)+sin(x_2\beta)+sin(x_3\beta)+...+sin(x8\beta) = Y\)
If I know Y (its constant), is there a easy way to solve for \(\beta\)?
I know for small values of \(\sin(\omega)\), that it can be approximated by \(\omega\), so I did this for this first 2 terms where the value was < 0.3 rads. However, for the other terms, I don't think the small signal approximation applies anymore, and I can't think of a way to isolate \(\beta\) since \(x_3, x_4 \) etc are different.
tia