Amplitude help?

2 ⤊

Can someone please find the amplitude, period, and the phase shift for this equation?

y = sin (x + pi/4)

I need this in the next couple of minutes. I deeply appreciate the help.

2006-10-20 07:28:51 · 2 answers · asked by pnoiz1 2 in Science & Mathematics ➔ Mathematics

2 answers

amplitude is ONE
phase pi/4
period 2pi

2006-10-20 07:31:25 · answer #1 · answered by gjmb1960 7 · 0⤊ 0⤋

A sinusoid takes the form:

A*sin( 2*pi*(1/T)*x + theta )

where:

A: amplitude
T: period
theta: phase shift

In your case:

A = 1
T = 2*pi
theta = pi/4 = 45 degrees

Note that the frequency of the sinusoid is 1/(2*pi), which is simply 1/T.

2006-10-20 07:32:41 · answer #2 · answered by Ted 4 · 2⤊ 0⤋