A music synthesizer uses sine waves as a basic form for generating music. A technician wants a wave with an amplitude of 6, a period of 2/5π, and a vertical shift down of 5. a. Write a function that would produce the desired result for the technician in terms of relative position of the wave, g, over time t.
b. More complex music is generated by adding multiple waves together. Write the reflection, m, of this function.
c. If the technician were to add these two waves together in the same piece of music, explain what might be the result. Include the resulting equation.