Solving For t in A Sin(Bt) - Ct + D = 0

[KLoux]

Hello,

I have an equation which I am trying to solve for t. Of course the problem I'm having is due to the combination of ts within the argument of the sin term and also outside of it. I think I could also manage without the constant D (using sin(x)/x=sinc(x)), but that's no help here (as far as I can tell). Any advice is appreciated! Here's the equation:

$$A \sin \left( B t \right) - C t + D = 0$$

Thanks,

Kerry

 

[Chandra Prayaga]

This is a transcendental equation which has to be solved numerically or graphically. First rewrite the equation with the sin term on the left and the linear term on the right:

A sin(Bt) = Ct - D

Now plot on the same graph, the function on the left and the function on the right. Their intersection gives the value of t which solves your original equation