Determine the period of the cosine function

The video tutorial explains the cosine function equation, starting with the general form Y = a cos(BX - C) + D. It breaks down the components of the equation, focusing on rewriting it in a simpler form. The tutorial then demonstrates how to calculate the period of the cosine function by dividing 2π by B. The lesson concludes with the final answer, ensuring students understand the process and the result.

What is the general form of the cosine function as introduced in the video?

• Y = a times sine of BX minus C + D

• Y = a times cosine of BX minus C + D

• Y = a times secant of BX minus C + D

• Y = a times tangent of BX minus C + D

In the equation y = 6 cosine(2π/15 * X + 8), what does the term 2π/15 represent?

• The phase shift of the function

• The frequency of the function

• The amplitude of the function

• The vertical shift of the function

How can the term 4X/3 be rewritten according to the video?

• 4 times X divided by 3

• 4 divided by 3 times X

• X divided by 4 times 3

• 3 times X divided by 4

What is the period of a cosine function with B = 2π/15?

• 30

• 15

• 7.5

• 2π

What mathematical operation is used to find the period of the cosine function in the video?

• Addition

• Subtraction

• Multiplication

• Division