Please help! Calculus question!

Question

Sounds are how we perceive pressure waves in the air. The note F-sharp, more than 2 octaves above the note 'middle C', is a sound wave with an ordinary frequency* f = 1584 Hertz or cycles/sec. If you need to use the symbol , type "pi".Model this note with the sine function, assuming that the amplitude is 1 and the phase shift is 0.

*This frequency is based on the just-intonation scale. The frequency based on the equal tempered scale would be f = 1567.9817

Answer 1

(1584x2)x2=6328, one octave is doubling, two octave is doubling twice.

6328 is the frequency

f(t)=sin(2π*6328*t)

sin frequency in radians = 2π*cycles/second

when t=1/6328 there is one period of sin

period T=2π/sin frequency=1/6328

wehen t=1, sin frequency is 2π*6328