Question

Question 8 using radians, find the amplitudeand period of each function and graph it

Answer 1

Given

The function is given as

`y=3cos(\theta)/(3)`Required

To determine the amplitude and period.

Step-by-step explanation

The general trigonometric equation is

`y=Acos(Bx-C)+D`

where A is the amplitude.

Compare with the given equaiton.

A =3.

Then the amplitude is 3.

Now , find the period.

`P=(2\pi)/(B)`

Substitute the value of B in the expression.

`P=(2\pi)/(((1)/(3)))=6\pi`Answer

Hence the amplitude is 3 and period is

`6\pi`

The graph of the equation is determined as