## time difference between two sine waves

"There are two sine waves having a phase difference of 20 degrees. After one reaches its maximum value, how much time will pass until the other reaches its maximum, assuming a frequency of 60 Hz."

 Recognitions: Homework Help Science Advisor You have two sines which have are functions of position and time. (actually, considering them function of time alone is sufficient) They both have the form: $$A\sin(kx-\omega t + \phi)$$ Assume the first wave reaches its maximum A at time t=0 and position x=0. Then you have to find t when the second wave reaches its max A: $$A\sin(-\omega t + \phi)=A$$ Where $\phi$ is 20 degrees expressed in radians.