Adding sinusoids together - in-phase, out-of-phase etc.

Now that we understand sinewaves, amplitude, frequency and phase - let's try adding them together to see what happens. The most interesting start point is to set both amplitudes and frequencies to the same values, and the relative phase of B to zero (0). The sum should be simply have twice the amplitude of the individuals A and B. Now move the phase of B to 180 degrees. What happens? What about 180? Or 360? 720? 360? 540? Discuss!

Adding sinusoids together - in-phase, out-of-phase
Adding sinusoids together - in-phase, out-of-phase