For two vectors (r1,theta1) and (r2,theta2), adding them together will not be (r1+r2, theta1+theta2). It would instead be something like:
((r1+r2)*cos((theta2-theta1)/2), (theta1+theta2)/2)
...?
We can use the "Law of cosines" to compute the r, and then use the "Law of sines" to compute the residual angle, then subtract it by (theta1 - theta2) to get the theta.
For two vectors (r1,theta1) and (r2,theta2), adding them together will not be (r1+r2, theta1+theta2). It would instead be something like:
((r1+r2)*cos((theta2-theta1)/2), (theta1+theta2)/2)
...?
We can use the "Law of cosines" to compute the r, and then use the "Law of sines" to compute the residual angle, then subtract it by (theta1 - theta2) to get the theta.