Frequency and Period of Trigonometric Functions

The video tutorial covers the concept of frequency in sine and cosine functions. It explains the formula for frequency as the absolute value of B over 2π and demonstrates how to calculate frequency using examples. The tutorial provides step-by-step instructions for finding frequency directly and through the period, using different function examples to illustrate the process.

What is the formula for calculating the frequency of a sine or cosine function?

• 1 over the period

• A times B

• B over 2π

• C plus D

In the first example, what is the absolute value of B?

• 3

• π/3

• 2π

• 1/2

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

• Subtract the period from A

• Add the period to B

• Divide 1 by the period

• Multiply the period by 2π

In the second example, what is the simplified frequency when B is 4?

• π/2

• 4/2π

• 2/π

• 1/π

What is the period when B is 4 in the second example?

• 2/π

• π

• π/2

• 2π

In the third example, how is the fraction within a fraction handled?

• By dividing the fractions directly

• By converting to multiplication and flipping the second fraction

• By adding the fractions

• By subtracting the fractions

What is the frequency when B is -3/4 in the third example?

• 3/4π

• 4/3π

• 8/3π

• 3/8π

What is the first step in finding the frequency when B is a fraction?

• Take the absolute value of B

• Add B to 2π

• Multiply B by 2π

• Subtract B from 2π

In the third example, what is the value of A?

• 3

• 1

• 5

• 2

What is the final frequency in the third example?

• 3/8π

• 3/4π

• 4/3π

• 8/3π