how to find the amplitude and phase shift of :
y= 3 + cos(5x+ pi/2)
I am going to change your equation to
y = 3 + 1cos 5(x + pi/10)
Your text or your notes or your teacher should have shown you how to get your answers from that.
let me know what you think.
thank you i figured it out.
To find the amplitude and phase shift of the given equation, y = 3 + cos(5x + π/2), we can break it down into two parts: the amplitude and the phase shift.
1. Amplitude:
The amplitude of a cosine function is the absolute value of the coefficient of the cosine term. In this case, the coefficient of the cosine term is 1, which means the amplitude is 1.
2. Phase Shift:
The argument of the cosine function, 5x + π/2, determines the phase shift. To find the phase shift, you need to solve the equation inside the cosine term for x and express it in terms of the original variable (x).
5x + π/2 = 0
5x = -π/2
x = (-π/2) / 5 = -π/10
Therefore, the phase shift is -π/10.
In summary, for the given equation y = 3 + cos(5x + π/2):
- The amplitude is 1.
- The phase shift is -π/10.