Find an equation for each of the following trig functions:(a)A sine function that has maximum values of 6 and minimum values of -6 and x-intercepts at multiples of 5 pi. (b) A tangent function that has vertical asymptotes every 6 units (not multiples of pi!) (c) Middle C has a frequency of 256 cycles per second. If the sound has an amplitude of 10, find a cosine function that models this.