how to find the period of y = cos(6x)from your graph. what is the period of y=cos(6x) in radians?

The period is 2 pi in radians for any old trig periodic function.

To find the period of the function y = cos(6x) from the graph, you can use the following steps:

1. Identify the starting point of one complete cycle of the graph. In this case, find the initial value of x where the cosine function begins repeating itself.

2. Mark the point on the graph where the starting point is located.

3. Move along the x-axis until you reach the next point where the graph reaches the same value as the starting point. This will mark the end of one complete cycle.

4. Measure the distance between the two marked points. This distance represents the period of the graph.

However, to find the period of y = cos(6x) in radians more accurately, we can use a mathematical formula:

The general formula for the period of the cosine function is given by T = 2π/|b|, where b is the coefficient of x in the argument of the cosine function.

In this case, the coefficient of x is 6. So the period (T) of y = cos(6x) can be calculated as follows:

T = 2π/|6| = π/3.

Hence, the period of y = cos(6x) in radians is π/3.