4. Write the equation of the cosine function with an amplitude of 1/3, a period of 2pi, and a phase shift of 3pi/2.

5. Write the equation of the sine function with an amplitude of 4, a period of pi/2, and a phase shift of -pi/4.

1 answer

4. Y = (1/3) cos (x - 3pi/2)

5. Y = 4 sin (4x + pi/4)

The general form is
Y = (amplitude)*(sin or cos)(2 pi x/P - phase shift)

where P is the period.