Understanding Frequency and Period in Trigonometric Functions

What is the relationship between frequency and period in trigonometric functions?

• They are equal.

• They are unrelated.

• They are inversely proportional.

• They are directly proportional.

In the function y = 4 sin(8x), what does the number 4 represent?

• Phase shift

• Amplitude

• Period

• Frequency

How do you find the period of a function if the frequency is given?

• Multiply the frequency by 2π

• Divide 2π by the frequency

• Add 2π to the frequency

• Subtract the frequency from 2π

If the frequency of a function is 3/5, what is the period?

• 10π/3

• 5π/3

• 2π/3

• 3π/5

What happens to the frequency if the period of a function increases?

• The frequency increases.

• The frequency decreases.

• The frequency remains the same.

• The frequency becomes zero.

If the period of a function is 2π/7, what is the frequency?

• 7

• 14

• 1/7

• 2π/7

How do you find the frequency if the period is given?

• Subtract the period from 2π

• Add 2π to the period

• Divide 2π by the period

• Multiply the period by 2π

If the frequency is given as π/8, what is the period?

• 2π

• π/8

• 16

• 8

What is the period of a function if the frequency is 24?

• 24π

• 2π/24

• 12π

• π/12

What is the formula to find the frequency from the period?

• Frequency = Period - 2π

• Frequency = Period / 2π

• Frequency = 2π * Period

• Frequency = 2π / Period