To determine the frequency of the function y = sec5x, we need to understand the properties of the secant function and how it relates to the variable x.

1. The secant function, sec(x), is defined as the reciprocal of the cosine function, 1/cos(x). It represents the ratio of the hypotenuse to the adjacent side in a right triangle.

2. In the given function, y = sec5x, the variable x is multiplied by 5. This means that the function will complete 5 cycles within the interval of 2π radians or 360 degrees.

3. The frequency of a function is defined as the number of cycles it completes within a given interval. In this case, the frequency is 5 cycles within 2π radians or 360 degrees.

Therefore, the frequency of the function y = sec5x is 5 cycles within 2π radians or 360 degrees.

Question

To determine the frequency of the function y = sec5x, we need to understand the properties of the secant function and how it relates to the variable x.

1. The secant function, sec(x), is defined as the reciprocal of the cosine function, 1/cos(x). It represents the ratio of the hypotenuse to the adjacent side in a right triangle.

2. In the given function, y = sec5x, the variable x is multiplied by 5. This means that the function will complete 5 cycles within the interval of 2π radians or 360 degrees.

3. The frequency of a function is defined as the number of cycles it completes within a given interval. In this case, the frequency is 5 cycles within 2π radians or 360 degrees.

Therefore, the frequency of the function y = sec5x is 5 cycles within 2π radians or 360 degrees.

Knowee AI · Accepted Answer

To determine the frequency of the function y = sec5x, we need to understand the properties of the secant function and how it relates to the variable x.

1. The secant function, sec(x), is defined as the reciprocal of the cosine function, 1/cos(x). It represents the ratio of the hypotenuse to the adjacent side in a right triangle.

2. In the given function, y = sec5x, the variable x is multiplied by 5. This means that the function will complete 5 cycles within the interval of 2π radians or 360 degrees.

3. The frequency of a function is defined as the number of cycles it completes within a given interval. In this case, the frequency is 5 cycles within 2π radians or 360 degrees.

Therefore, the frequency of the function y = sec5x is 5 cycles within 2π radians or 360 degrees.

What is the frequency of the function y = sec5x?

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