how to find the period of y = cos(6x)from your graph. what is the period of y=cos(6x) in radians?
To find the period of a trigonometric function, you need to examine its graph. In this case, you are given the function y = cos(6x) and you want to find its period.
The period of a trigonometric function is the horizontal distance between two consecutive points on the graph of the function that have the same value. For cosine functions, the period is equal to 2π divided by the coefficient of x inside the cosine function.
In the given function, y = cos(6x), the coefficient of x is 6. Therefore, to find the period, you need to calculate 2π divided by 6.
Calculating this, you will get:
Period = 2π / 6
Simplifying further, you will get:
Period = π / 3
So, the period of the function y = cos(6x) is π / 3 radians.