Question

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

Answer 1

Given

The function is given as

$y=3cos\frac{\theta}{3}$Required

To determine the amplitude and period.

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.

$P=\frac{2\pi}{B}$

Substitute the value of B in the expression.

$P=\frac{2\pi}{(\frac{1}{3})}=6\pi$Answer

Hence the amplitude is 3 and period is

$6\pi$

The graph of the equation is determined as