Question

What are the amplitude, period, and phase shift of the given function?
f(t)= -5sin (7t-1)

Answer 1

Answer: B

Explanation:

Answer 2

B

Explanation:

Given a sinusoidal function in the form f(x) = A Sin (Bx + C), we can say that:

A is the amplitude (if A is negative, the Amplitude is still the positive)

Period is
`(2\pi)/(B)`

To get phase shift, we set Bx + C = 0 and solve for x.

Now, the function given is f(t) = -5 Sin (7t -1)

Hence, amplitude is 5

period is
`(2\pi)/(7)`

and, phase shift is:

7t - 1 = 0

7t = 1

t = 1/7

Answer choice B is right.