Two oscillating mechanisms have maximum displacements of x and y each with a frequency of 60Hz.

When x=2 + q/10, y = 2.5 + q/10, both measured in metres.

At time t = 0 the displacement is 90cm. Express the displacements of each mechanism in the general form Asin(wt±δ)

1. Plot the graphs of the two functions using usual conventions.

1. Add the two functions together and show on your graph the sum of the functions.

1. Analyse how this function could change if the frequency and maximum displacement changes.

1. How does this sine graph relate to a cosine graph?