Chapter 3.7, Problem 11P

a.

To determine

To show: The expression $A\cos \left({\omega }_{0}t\right)+B\sin \left({\omega }_{0}t\right)$ can be written in the form $r\sin \left({\omega }_{0}t-\theta \right)$ and to determine r and $\theta$ in terms of A and B.

b.

To determine

The relationship among the variables $R,r,\delta \text{ and }\theta$ if $R\cos \left({\omega }_{0}t-\delta \right)=r\sin \left({\omega }_{0}t-\theta \right)$.