Cosine Function Period and Adjustments

The video tutorial explains how to adjust the period of a cosine function. It begins with an introduction to the concept of period adjustment, followed by an exploration of how changing coefficients can affect the period. The tutorial then discusses methods to slow down the period of motion and demonstrates practical application using Desmos. Finally, it concludes with final adjustments to the model and a summary of the learning process.

What is the period of a regular cosine function in radians?

• π seconds

• 360 degrees

• 2π seconds

• 180 degrees

If you multiply the cosine function by 2, what happens to the period?

• It remains the same

• It halves

• It becomes zero

• It doubles

What is the effect of dividing the cosine function by 2 on its period?

• The period halves

• The period remains unchanged

• The period becomes zero

• The period doubles

How can you remove pi from the period of a cosine function?

• Multiply by pi

• Divide by pi

• Add pi

• Subtract pi

What adjustment is needed to change the period from 2 seconds to 90 seconds?

• Multiply by 45

• Subtract 45

• Divide by 45

• Add 45

How do you start the cosine function at the bottom of the cycle?

• Add a constant

• Multiply by zero

• Subtract a constant

• Make the function negative

What is the purpose of using Desmos in this lesson?

• To calculate integrals

• To solve equations

• To adjust the period of functions

• To draw circles

What is the significance of the 'H of T' notation in the context of this lesson?

• It is a constant value

• It is a unit of measurement

• It represents the horizontal axis

• It represents height as a function of time

How many full cycles are completed in 180 seconds according to the lesson?

• Two cycles

• Four cycles

• One cycle

• Three cycles

What is the first step in sketching the graph of the adjusted cosine function?

• Set the period to 90 seconds

• Start at the top of the cycle

• Draw the x-axis

• Use a ruler