Finding the Amplitude and Period of a Trigonometric Graph

The video tutorial explains how to solve the equation y = 1/2 cos(2X/3) by finding the amplitude and period. It covers the concept of amplitude, which is the absolute value of the coefficient in front of the cosine function, and how to calculate it. The tutorial also explains how to determine the period of the function using the formula 2π/B, where B is the coefficient of X. The instructor provides examples and clarifies common misconceptions, such as the correct identification of B in the equation. Additionally, the video discusses graphing and transformations, emphasizing how to adjust the graph based on translations and transformations.

Explain how the transformations of sine functions are similar to those of quadratic functions.

What does the absolute value of A represent in the context of sine waves?

What is the amplitude of the function y = 1/2 cosine(2X/3)?

How do you determine the period of a sine function?

How can you rewrite the expression 10/2 in terms of a fraction?

What is the value of B in the function y = 1/2 cosine(2X/3)?

Describe the process of finding the period of the function y = 1/2 cosine(2X/3).