Trig
posted by Tabby .
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.

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.
Respond to this Question
Similar Questions

Pre Cal.
State the amplitude, period, and phase shift of the function y=3cos(3x+ (3pi/2)) Amplitude: 3 Period: 2pi/3 Phase Shift: pi/2 Am I right? 
trig
Write the equation of the sine function with an amplitude of, a period of, a phase shift of, and a vertical shift of 10 units up. 
Trig
Write the equation of the sine function with an amplitude of 1/7, a period of 2pi, a phase shift of 6pi, and a vertical shift of 10 units up ? 
Math/Trig
Write the sine function with an amplitude of 1/4, a period of 3pi, phase shift of pi4 to the right, and a vertical shift of 4 units down. 
Trig/Math
Write the equation of the cosine function with an amplitude of 1, a period of 3pi/7, a phase shift of pi/5, and a vertical shift of 2 units down. 
Analysis
Write an equation of a cosine function with Amplitude=4, Period=pi/2, and Phase Shift=pi? 
Math
Write an equation of a cosine function with Amplitude=4, Period=pi/2, and Phase Shift=pi? 
Trigonometry
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. I got 1/3COS(1/2x3pi), but I really do not think that is correct D: any tips or advice? 
Trigonometry
Write the equation of a sine wave (also called sine curve) given: 1. amplitude = 2 period = pi/2 phase shift = pi/8 vertical shift = 1 2. amplitude = 4 period = 3 phase shift = 2 vertical shift = 1 3. amplitude = 4 period = pi phase … 
Trigonometry
Write an equation of the cosine function with the given amplitude, period, phase shift, and vertical shift. amplitude = 3, period = pi, phase shift = 3/4 pi, vertical shift = 3