Question

Question 4, using radians, find the amplitude and period of each function and graph it

Answer 1

We want to find the amplitude, period and graph the function:

$y=\frac{1}{2}cos(2\theta)$

To solve this problem we can start from a known function, cos(θ):

And do the corresponding transformations as:

Keep doing the corresponding transformations as:

If we first look at the amplitude, we realize that the amplitude from the origin is 0.5, and the period is π.

Then the correct answer is:

Amplitude: 0.5

Period: π