Question

Consider the function f(θ)=4sin(2θ)+2.What is the amplitude of f?What is the period of f?Graph of the function f below.

Answer 1

Given data:

The given function is f(θ)=4sin(2θ)+2.

Amplitude is the maximum vertical distance, amplitude of the given function is,

A=6

The period of the given function is,

`\begin{gathered} P=(2\pi)/(2) \\ =\pi \end{gathered}`

The graph of the given function is shown below.

Thus, amplitude of the function is 6, and period is π.